Showing 1–50 of 235 results for author: Bambi, C

Assessing systematic uncertainties from spectral re-analysis of Cyg X-1 with different coronal geometries

Authors: Abdurakhmon Nosirov, Jiachen Jiang, Cosimo Bambi, John A. Tomsick

Abstract: In this work, we carry out a new spectral reanalysis of NuSTAR and Suzaku observations of the disk reflection spectra in the stellar-mass black hole X-ray binary Cyg~X-1. We compare three types of models: a broken power-law disk emissivity profile with no assumption about the coronal shape used in the previous work of the same observations, a compact lamppost corona, and an extended disk-like coro… ▽ More In this work, we carry out a new spectral reanalysis of NuSTAR and Suzaku observations of the disk reflection spectra in the stellar-mass black hole X-ray binary Cyg~X-1. We compare three types of models: a broken power-law disk emissivity profile with no assumption about the coronal shape used in the previous work of the same observations, a compact lamppost corona, and an extended disk-like corona motivated by recent X-ray polarization results. Our goal is to measure the systematic uncertainties caused by the assumed geometry, with a focus on key parameters such as the black hole spin and the inclination of the inner accretion disk. We find that the disk-like corona gives a fit that is statistically similar to the broken power-law and lamppost models, but it leads to more physically reasonable results, such as a lower inclination angle of about $30^{\circ}$. By using a variable disk density model, we measure the disk density to be $n_{\rm e}\approx10^{20}$\,cm$^{-3}$, which is similar to earlier results. While the extended corona model infers a wider allowed parameter space for black hole spin and the inner radius of the disk-shaped coronal region, this reflects the additional physical freedom of the model. Even so, the disk-like corona remains a strong and physically well-motivated candidate for explaining the X-ray emission from Cyg~X-1. △ Less

Submitted 24 December, 2025; originally announced December 2025.

DAO: A New and Public Non-Relativistic Reflection Model

Authors: Yimin Huang, Honghui Liu, Cosimo Bambi, Adam Ingram, Jiachen Jiang, Andrew Young, Zuobin Zhang

Abstract: We present a new non-relativistic reflection model, DAO, designed to calculate reflection spectra in the rest frame of accretion disks in X-ray binaries and active galactic nuclei. The model couples the XSTAR code, which treats atomic processes, with the Feautrier method for solving the radiative transfer equation. A key feature of DAO is the incorporation of a high-temperature corrected cross sec… ▽ More We present a new non-relativistic reflection model, DAO, designed to calculate reflection spectra in the rest frame of accretion disks in X-ray binaries and active galactic nuclei. The model couples the XSTAR code, which treats atomic processes, with the Feautrier method for solving the radiative transfer equation. A key feature of DAO is the incorporation of a high-temperature corrected cross section and an exact redistribution function to accurately treat Compton scattering. Furthermore, the model accommodates arbitrary illuminating spectra, enabling applications across diverse physical conditions. We investigate the spectral dependence on key physical parameters and benchmark the results against the widely used reflionx and xillver codes. △ Less

Submitted 14 December, 2025; originally announced December 2025.

Comments: 25 pages, 19 figures. Code available at https://github.com/ABHModels/DAO

Testing black hole metrics with binary black hole inspirals

Authors: Zhe Zhao, Swarnim Shashank, Debtroy Das, Cosimo Bambi

Abstract: Gravitational wave astronomy has opened an unprecedented window onto tests of gravity and fundamental physics in the strong-field regime. In this study, we examine a series of well-motivated deviations from the classical Kerr solution of General Relativity and employ gravitational wave data to place constraints on possible deviations from the Kerr geometry. The method involves calculating the phas… ▽ More Gravitational wave astronomy has opened an unprecedented window onto tests of gravity and fundamental physics in the strong-field regime. In this study, we examine a series of well-motivated deviations from the classical Kerr solution of General Relativity and employ gravitational wave data to place constraints on possible deviations from the Kerr geometry. The method involves calculating the phase of gravitational waves using the effective one-body formalism and then applying the parameterized post-Einsteinian framework to constrain the parameters appearing in these scenarios beyond General Relativity. The effective one-body method, known for its capability to model complex gravitational waveforms, is used to compute the wave phase, and the post-Einsteinian framework allows for a flexible, model-independent approach to parameter estimation. We demonstrate that gravitational wave data provide evidence supporting the Kerr nature of black holes, showing no significant deviations from General Relativity, thereby affirming its validity within the current observational limits. This work bridges theoretical waveform modeling with observational constraints, providing a pathway to test the no-hair theorem and probe the astrophysical viability of modified black holes. △ Less

Submitted 6 October, 2025; originally announced October 2025.

Comments: 25 pages, 12 figures

Assessing the Power-Law Emissivity Assumption in X-ray Reflection Spectroscopy: A Simulation-Based Evaluation of Different Coronal Geometries

Authors: Songcheng Li, Abdurakhmon Nosirov, Cosimo Bambi, Honghui Liu, Zuobin Zhang, Shafqat Riaz

Abstract: The emissivity profile assumed in X-ray reflection spectroscopy significantly impacts black hole spin measurements. Using simulated NuSTAR spectra generated for lamppost and disk-like coronae with the relxill model suite, we evaluate systematic biases introduced when fitting with power-law or broken power-law emissivity profiles. We find that a simple power-law can accurately recover spins for low… ▽ More The emissivity profile assumed in X-ray reflection spectroscopy significantly impacts black hole spin measurements. Using simulated NuSTAR spectra generated for lamppost and disk-like coronae with the relxill model suite, we evaluate systematic biases introduced when fitting with power-law or broken power-law emissivity profiles. We find that a simple power-law can accurately recover spins for low-height lamppost coronae with long exposures and low inclination angle, while broken power-laws introduce degeneracies when the simple power-law already performs adequately. However, for extended or high-height coronae, especially at high inclinations, both models produce large systematic biases unresolved by longer exposure times. Our results demonstrate that power-law approximations are reliable for compact coronae, highlighting the need for geometry-specific models in complex cases. △ Less

Submitted 25 September, 2025; originally announced September 2025.

Comments: 13 pages, 24 figures

An interstellar mission to the closest black hole?

Authors: Cosimo Bambi

Abstract: In this manuscript, I discuss the possibility of sending a small probe to the closest black hole with the goal of addressing some fundamental questions of modern physics. Are astrophysical black holes the Kerr black holes predicted by General Relativity? Do astrophysical black holes have an event horizon? Is the physics around a black hole the same physics as in our laboratories on Earth? While we… ▽ More In this manuscript, I discuss the possibility of sending a small probe to the closest black hole with the goal of addressing some fundamental questions of modern physics. Are astrophysical black holes the Kerr black holes predicted by General Relativity? Do astrophysical black holes have an event horizon? Is the physics around a black hole the same physics as in our laboratories on Earth? While we do not have the technology for a similar mission today, it may be available in the next 20-30 years. The whole mission may last up to a century (depending on the actual distance of the black hole and the speed of the probe), but it may represent a unique opportunity to perform precise and accurate tests of General Relativity in the strong field regime. △ Less

Submitted 14 September, 2025; originally announced September 2025.

Comments: 6 pages, 2 figures. Talk given at the 22nd Lomonosov Conference on Elementary Particle Physics, 21-27 August 2025, Moscow, Russia

Spin Constraints on 4U 1630-47 via combined Continuum Fitting and Reflection methods: a comparative study using Frequentist and Bayesian statistics

Authors: Debtroy Das, Honghui Liu, Zuobin Zhang, Cosimo Bambi, Jiachen Jiang, Johannes Buchner, Andrea Santangelo, Menglei Zhou

Abstract: We present a comprehensive Bayesian spectral analysis of the black hole X-ray binary 4U 1630-47 during its 2022 outburst, using simultaneous \textit{NICER} and \textit{NuSTAR} observations. Using the traditional frequentist approach, we build our model combining reflection spectroscopy with continuum fitting techniques and analyse the data. In the Bayesian framework, we jointly constrain the black… ▽ More We present a comprehensive Bayesian spectral analysis of the black hole X-ray binary 4U 1630-47 during its 2022 outburst, using simultaneous \textit{NICER} and \textit{NuSTAR} observations. Using the traditional frequentist approach, we build our model combining reflection spectroscopy with continuum fitting techniques and analyse the data. In the Bayesian framework, we jointly constrain the black hole's spin, mass, inclination, and distance within a unified framework. Employing nested sampling, we capture parameter degeneracies and rigorously propagate both statistical and systematic uncertainties. Our results yield robust and precise spin measurements from both approaches. Our Bayesian analysis fetches spin $a_*= 0.93_{-0.04}^{+0.05}$, mass $M_{\rm BH} = 9.0_{-2.0}^{+2.0} \, M_\odot$, distance $d_{\rm BH} = 10.5_{-1.2}^{+1.3}$~kpc, and inclination angle $i=53.8_{-1.3}^{+1.3}$~deg. It also demonstrates the power of Bayesian inference in fetching valuable insights into the complex physics of black hole accretion and enabling high-confidence measurements of fundamental parameters. △ Less

Submitted 11 September, 2025; originally announced September 2025.

Comments: 24 pages, 12 figures

Possible Coronal Geometry in the Hard and Soft State of Black Hole X-ray Binaries from MONK Simulations

Authors: Ningyue Fan, Cosimo Bambi, James F. Steiner, Wenda Zhang

Abstract: Understanding the coronal geometry in different states of black hole X-ray binaries is important for more accurate modeling of the system. However, it is difficult to distinguish different geometries by fitting the observed Comptonization spectra. In this work, we use the Monte Carlo ray-tracing code MONK to simulate the spectra for three simple corona toy models widely proposed in observational s… ▽ More Understanding the coronal geometry in different states of black hole X-ray binaries is important for more accurate modeling of the system. However, it is difficult to distinguish different geometries by fitting the observed Comptonization spectra. In this work, we use the Monte Carlo ray-tracing code MONK to simulate the spectra for three simple corona toy models widely proposed in observational studies: sandwich, spherical, and lamppost, varying their optical depth and size (height). By fitting the simulated NuSTAR observations with the simplcut*kerrbb model, we infer the possible parameter space for the hard state and soft state of different coronal geometries. The influence of the disk inclination angle, black hole spin and coronal temperature is discussed. We find that in the lamppost model, if we exclude the case of a very extended corona, the disk emission is always dominant, making the lamppost geometry incompatible with the hard state. While the sandwich and spherical models can produce similar spectra in both the hard and soft states, the simulated IXPE polarimetric spectra show the potential to break this degeneracy. Geometrical effects arising from the limited size of the corona become evident in lower-spin black holes and affect the spectral fitting, where the larger ISCO reduces the corona coverage of the inner disk. △ Less

Submitted 10 December, 2025; v1 submitted 29 August, 2025; originally announced August 2025.

Comments: 13 pages, 11 figures, 1 table. v2: refereed version. Accepted for publication in ApJ

Journal ref: Astrophys.J. 995: 124 (2025)

Probing missing physics from inspiralling compact binaries via time-frequency tracks

Authors: Debtroy Das, Soumen Roy, Anand S. Sengupta, Cosimo Bambi

Abstract: The orbital evolution of binary black hole (BBH) systems is determined by the component masses and spins of the black holes and the governing gravity theory. Gravitational wave (GW) signals from the evolution of BBH orbits offer an unparalleled opportunity for examining the predictions of General Relativity (GR) and for searching for missing physics in the current waveform models. We present a met… ▽ More The orbital evolution of binary black hole (BBH) systems is determined by the component masses and spins of the black holes and the governing gravity theory. Gravitational wave (GW) signals from the evolution of BBH orbits offer an unparalleled opportunity for examining the predictions of General Relativity (GR) and for searching for missing physics in the current waveform models. We present a method of stacking up the time-frequency pixel energies through the orbital frequency evolution with the flexibility of gradually shifting the orbital frequency curve along the frequency axis. We observe a distinct energy peak corresponding to the GW signal's quadrupole mode. If an alternative theory of gravity is considered and the analysis of the BBH orbital evolution is executed following GR, the energy distribution on the time-frequency plane will be significantly different. We propose a new consistency test to check whether our theoretical waveform explains the BBH orbital evolution. Through the numerical simulation of beyond-GR theory of gravity and utilizing the framework of second-generation interferometers, we demonstrate the efficiency of this new method in detecting any possible departure from GR. Finally, when applied to an eccentric BBH system and GW190814, which shows the signatures of higher-order multipoles, our method provides an exquisite probe of missing physics in the GR waveform models. △ Less

Submitted 29 July, 2025; originally announced July 2025.

Comments: 15 pages, 9 figures

Stellar-Mass Black Holes

Authors: Cosimo Bambi

Abstract: Stellar-mass black holes ($3$ $M_\odot \lesssim M_{\rm BH} \lesssim 150$ $M_\odot$) are the natural product of the evolution of heavy stars ($M_{\rm star} \gtrsim 20$ $M_\odot$). In our Galaxy, we expect $10^8$-$10^9$ stellar-mass black holes formed from the gravitational collapse of heavy stars, but currently we know fewer than 100 objects. We also know $\sim 100$ stellar-mass black holes in othe… ▽ More Stellar-mass black holes ($3$ $M_\odot \lesssim M_{\rm BH} \lesssim 150$ $M_\odot$) are the natural product of the evolution of heavy stars ($M_{\rm star} \gtrsim 20$ $M_\odot$). In our Galaxy, we expect $10^8$-$10^9$ stellar-mass black holes formed from the gravitational collapse of heavy stars, but currently we know fewer than 100 objects. We also know $\sim 100$ stellar-mass black holes in other galaxies, most of them discovered by gravitational wave observatories in the past 10 years. The detection of black holes is indeed extremely challenging and possible only in very special cases. This article is a short review on the physics and astrophysics of stellar-mass black holes, including Galactic and extragalactic black holes in X-ray binaries, black holes in astrometric binaries, isolated black holes, and black holes in compact binaries. The article also addresses some important open issues and introduces the idea of a possible interstellar mission to the closest black hole. △ Less

Submitted 26 August, 2025; v1 submitted 21 July, 2025; originally announced July 2025.

Comments: 21 pages, 7 figures. Invited review article for a special issue of Symmetry. v2: refereed version

Journal ref: Symmetry 17: 1393 (2025)

Measuring black hole spins with x-ray reflection spectroscopy: A GRMHD outlook

Authors: Swarnim Shashank, Askar B. Abdikamalov, Honghui Liu, Abdurakhmon Nosirov, Cosimo Bambi, Indu K. Dihingia, Yosuke Mizuno

Abstract: X-ray reflection spectroscopy has evolved as one of the leading methods to measure black hole spins. However, the question is whether its measurements are subjected to systematic biases, especially considering the possible discrepancy between the spin measurements inferred with this technique and those from gravitational wave observations. In this work, we use general relativistic magnetohydrodyna… ▽ More X-ray reflection spectroscopy has evolved as one of the leading methods to measure black hole spins. However, the question is whether its measurements are subjected to systematic biases, especially considering the possible discrepancy between the spin measurements inferred with this technique and those from gravitational wave observations. In this work, we use general relativistic magnetohydrodynamic (GRMHD) simulations of thin accretion disks around spinning black holes for modeling the accretion process, and then we simulate NuSTAR observations to test the capability of modern reflection models in recovering the input spins. For the first time, we model the electron density and ionization profiles from GRMHD-simulated disks. Our study reveals that current reflection models work well only for fast-rotating black holes. We model the corona as the base of the jet and we find that reflection models with lamppost emissivity profiles fail to recover the correct black hole spins. Reflection models with broken power-law emissivity profiles perform better. As we increase the complexity of the simulated models, it is more difficult to recover the correct input spins, pointing toward the need to update our current reflection models with more advanced accretion disks and coronal geometries. △ Less

Submitted 21 December, 2025; v1 submitted 3 July, 2025; originally announced July 2025.

Comments: 21 pages, 12 figures. v2: refereed version. Supplemental material available at http://link.aps.org/supplemental/10.1103/4sth-rnwv

Journal ref: Phys. Rev. D 112, 123030 (2025)

Probing the Strong Gravity Region of Black Holes with eXTP

Authors: Qingcui Bu, Cosimo Bambi, Lijun Gou, Yanjun Xu, Phil Uttley, Alessandra De Rosa, Andrea Santangelo, Silvia Zane, Hua Feng, Shuang-Nan Zhang, Chichuan Jin, Haiwu Pan, Xinwen Shu, Francesco Ursini, Yanan Wang, Jianfeng Wu, Bei You, Yefei Yuan, Wenda Zhang, Stefano Bianchi, Lixin Dai, Tiziana Di Salvo, Michal Dovciak, Yuan Feng, Hengxiao Guo , et al. (20 additional authors not shown)

Abstract: We present the novel capabilities of the enhanced X-ray Timing and Polarimetry (eXTP) mission to study the strong gravity region around stellar-mass black holes in X-ray binary systems and supermassive black holes in active galactic nuclei. eXTP can combine X-ray spectral, timing, and polarimetric techniques to study the accretion process near black holes, measure black hole masses and spins, and… ▽ More We present the novel capabilities of the enhanced X-ray Timing and Polarimetry (eXTP) mission to study the strong gravity region around stellar-mass black holes in X-ray binary systems and supermassive black holes in active galactic nuclei. eXTP can combine X-ray spectral, timing, and polarimetric techniques to study the accretion process near black holes, measure black hole masses and spins, and test Einstein's theory of General Relativity in the strong field regime. We show how eXTP can improve the current measurements of black holes of existing X-ray missions and we discuss the scientific questions that can be addressed. △ Less

Submitted 8 September, 2025; v1 submitted 9 June, 2025; originally announced June 2025.

Comments: accepted for publication in the SCIENCE CHINA Physics, Mechanics & Astronomy

The enhanced X-ray Timing and Polarimetry mission -- eXTP for launch in 2030

Authors: Shuang-Nan Zhang, Andrea Santangelo, Yupeng Xu, Hua Feng, Fangjun Lu, Yong Chen, Mingyu Ge, Kirpal Nandra, Xin Wu, Marco Feroci, Margarita Hernanz, Congzhan Liu, Huilin He, Yusa Wang, Weichun Jiang, Weiwei Cui, Yanji Yang, Juan Wang, Wei Li, Xiaohua Liu, Bin Meng, Xiangyang Wen, Aimei Zhang, Jia Ma, Maoshun Li , et al. (136 additional authors not shown)

Abstract: In this paper we present the current status of the enhanced X-ray Timing and Polarimetry mission, which has been fully approved for launch in 2030. eXTP is a space science mission designed to study fundamental physics under extreme conditions of matter density, gravity, and magnetism. The mission aims at determining the equation of state of matter at supra-nuclear density, measuring the effects of… ▽ More In this paper we present the current status of the enhanced X-ray Timing and Polarimetry mission, which has been fully approved for launch in 2030. eXTP is a space science mission designed to study fundamental physics under extreme conditions of matter density, gravity, and magnetism. The mission aims at determining the equation of state of matter at supra-nuclear density, measuring the effects of quantum electro-dynamics, and understanding the dynamics of matter in strong-field gravity. In addition to investigating fundamental physics, the eXTP mission is poised to become a leading observatory for time-domain and multi-messenger astronomy in the 2030's, as well as providing observations of unprecedented quality on a variety of galactic and extragalactic objects. After briefly introducing the history and a summary of the scientific objectives of the eXTP mission, this paper presents a comprehensive overview of: 1) the cutting-edge technology, technical specifications, and anticipated performance of the mission's scientific instruments; 2) the full mission profile, encompassing spacecraft design, operational capabilities, and ground segment infrastructure. △ Less

Submitted 8 September, 2025; v1 submitted 9 June, 2025; originally announced June 2025.

Comments: accepted for publication in the SCIENCE CHINA Physics, Mechanics & Astronomy

X-ray reflection spectroscopy with improved calculations of the emission angle

Authors: Yimin Huang, Honghui Liu, Temurbek Mirzaev, Ningyue Fan, Cosimo Bambi, Zuobin Zhang, Thomas Dauser, Javier A. Garcia, Adam Ingram, Jiachen Jiang, Guglielmo Mastroserio, Shafqat Riaz, Swarnim Shashank

Abstract: The reflection spectrum produced by a cold medium illuminated by X-ray photons is not isotropic and its shape depends on the emission angle. In the reflection spectrum of an accretion disk of a black hole, the value of the emission angle changes over the disk and, in general, is different from the value of the inclination angle of the disk because of the light bending in the strong gravitational f… ▽ More The reflection spectrum produced by a cold medium illuminated by X-ray photons is not isotropic and its shape depends on the emission angle. In the reflection spectrum of an accretion disk of a black hole, the value of the emission angle changes over the disk and, in general, is different from the value of the inclination angle of the disk because of the light bending in the strong gravitational field of the black hole. Current reflection models make some approximations, as calculating a reflection spectrum taking the correct emission angle at every point of the disk into account would be too time-consuming and make the model too slow to analyze observations. In a recent paper, we showed that these approximations are unsuitable to fit high-quality black hole spectra expected from the next generation of X-ray missions. Here, we present a reflection model with improved calculations of the emission angle that solves this problem. △ Less

Submitted 21 July, 2025; v1 submitted 1 June, 2025; originally announced June 2025.

Comments: 13 pages, 5 figures. v2: refereed version. v3: fixed a typo. Accepted for publication in ApJ

Journal ref: Astrophys.J. 989: 168 (2025)

Black hole mimickers: from theory to observation

Authors: Cosimo Bambi, Ramy Brustein, Vitor Cardoso, Andrew Chael, Ulf Danielsson, Suvendu Giri, Anuradha Gupta, Pierre Heidmann, Luis Lehner, Steven Liebling, Andrea Maselli, Elisa Maggio, Samir Mathur, Lia Medeiros, Alex B. Nielsen, Héctor R. Olivares-Sánchez, Paolo Pani, Nils Siemonsen, George N. Wong

Abstract: The black hole paradigm, while remarkably successful, raises fundamental questions-both classical and quantum-about the nature of spacetime, horizons, and singularities. Black hole mimickers, horizonless ultra-compact objects, have emerged as potential alternatives that seek to resolve some of these puzzles while remaining consistent with current observational constraints. Recent breakthroughs in… ▽ More The black hole paradigm, while remarkably successful, raises fundamental questions-both classical and quantum-about the nature of spacetime, horizons, and singularities. Black hole mimickers, horizonless ultra-compact objects, have emerged as potential alternatives that seek to resolve some of these puzzles while remaining consistent with current observational constraints. Recent breakthroughs in gravitational-wave astronomy and horizon-scale electromagnetic imaging have opened new avenues to test this paradigm-making this an opportune moment to systematically investigate such alternatives. This vision document presents a snapshot of the field as discussed at the Black Hole Mimickers: From Theory to Observation workshop, where experts from gravitational wave astronomy, very long baseline interferometry, numerical and mathematical relativity, and high-energy physics converged to assess the current frontiers. By highlighting key open questions and proposing concrete pathways forward, this document aims to guide future efforts to probe the nature of compact objects. As the field stands at the crossroads of theoretical innovation and observational breakthroughs, we outline strategies to harness upcoming observational capabilities to fundamentally test the black hole paradigm. △ Less

Submitted 13 May, 2025; originally announced May 2025.

Comments: Proceedings of the "Black Hole Mimickers: From Theory to Observation" workshop organized at the Princeton Center for Theoretical Sciences (PCTS), Princeton University, NJ, USA from March 3-5 2025

An interstellar mission to test astrophysical black holes

Authors: Cosimo Bambi

Abstract: Black holes are the sources of the strongest gravitational fields that can be found today in the Universe and are ideal laboratories for testing Einstein's theory of General Relativity in the strong field regime. In this letter, I show that the possibility of an interstellar mission to send a small spacecraft to the nearest black hole, although very speculative and extremely challenging, is not co… ▽ More Black holes are the sources of the strongest gravitational fields that can be found today in the Universe and are ideal laboratories for testing Einstein's theory of General Relativity in the strong field regime. In this letter, I show that the possibility of an interstellar mission to send a small spacecraft to the nearest black hole, although very speculative and extremely challenging, is not completely unrealistic. Certainly we do not have the necessary technology today, but it may be available in the next 20-30 years. The mission may last 80-100 years, but we would be able to obtain very valuable information about black holes and General Relativity that might be difficult to obtain in other ways. △ Less

Submitted 13 August, 2025; v1 submitted 20 April, 2025; originally announced April 2025.

Comments: 18 pages, 4 figures. v2: refereed version

Journal ref: iScience 28, 113142 (2025)

Impact of the returning radiation on X-ray reflection spectroscopy measurements: the case of Galactic black holes

Authors: Kexin Huang, Honghui Liu, Cosimo Bambi, Javier A. Garcia, Zuobin Zhang

Abstract: The effect of the returning radiation has long been ignored in the analysis of the reflection spectra of Galactic black holes and active galactic nuclei and only recently has been implemented in the relxill package. Here we present a study on the impact of the returning radiation on the estimate of the parameters of Galactic black holes. We consider high-quality NuSTAR spectra of three Galactic bl… ▽ More The effect of the returning radiation has long been ignored in the analysis of the reflection spectra of Galactic black holes and active galactic nuclei and only recently has been implemented in the relxill package. Here we present a study on the impact of the returning radiation on the estimate of the parameters of Galactic black holes. We consider high-quality NuSTAR spectra of three Galactic black holes (GX 339-4, Swift J1658.2-4242, and MAXI J1535-571) and we fit the data with the lamppost model in the latest version of relxill, first without including the returning radiation and then including the returning radiation. We do not find any significant difference in the estimate of the parameters of these systems between the two cases, even if all three sources are fast-rotating black holes and for two sources the estimate of the height of the corona is very low, two ingredients that should maximize the effect of the returning radiation. We discuss our results and the approximations in relxill. △ Less

Submitted 10 March, 2025; v1 submitted 19 January, 2025; originally announced January 2025.

Comments: 10 pages, 4 figures. v2: refereed version

Journal ref: Phys. Rev. D 111, 063025 (2025)

Dimming GRS 1915+105 observed with NICER and Insight--HXMT

Authors: M. Zhou, V. Grinberg, A. Santangelo, C. Bambi, Q. Bu, C. M. Diez, L. Kong, J. F. Steiner, Y. Tuo

Abstract: The black hole X-ray binary GRS 1915+105 was bright for 26 years since its discovery and is well-known for its disk instabilities, quasi-periodic oscillations, and disk wind signatures. We report a long-term spectral-timing tracing of this source from mid-2017 until the onset of the "obscured state", based on the complete data from the Neutron Star Interior Composition Explorer (NICER) and the Ins… ▽ More The black hole X-ray binary GRS 1915+105 was bright for 26 years since its discovery and is well-known for its disk instabilities, quasi-periodic oscillations, and disk wind signatures. We report a long-term spectral-timing tracing of this source from mid-2017 until the onset of the "obscured state", based on the complete data from the Neutron Star Interior Composition Explorer (NICER) and the Insight--Hard X-ray Modulation Telescope (HXMT), whose hard coverage decisively informs the modeling at lower energies. In the soft state predating 2018, we observed highly ionized winds. However, in the hard state shortly before transitioning into the "obscured state" on May 14, 2019 (MJD 58617), the winds exhibited a discernible reduction in ionization degree ($\log ξ$), decreasing from above 4 to approximately 3. Our analysis involves the measurement of the frequencies of the quasi-periodic oscillations and the estimation of the properties of the ionized winds and the intensities of different spectral components through spectroscopy during the decay phase. We delve into the origin of these infrequently observed warm outflows in the hard state. It is found that the launching radius of the winds in the hard decay phase is similar to that in the soft state, indicating the launching mechanism of those winds in both states is likely the same. The presence of the ionized winds is preferentially dependent on the periphery of the accretion disk, but not directly related to the corona activities in the center of the binary system. △ Less

Submitted 21 January, 2025; v1 submitted 7 January, 2025; originally announced January 2025.

Comments: Accepted for publication in A&A

Journal ref: A&A 694, A104 (2025)

Quasi-normal modes of slowly-rotating Johannsen black holes

Authors: Yuhao Guo, Swarnim Shashank, Cosimo Bambi

Abstract: The detection of gravitational waves with ground-based laser interferometers has opened a new window to test and constrain General Relativity (GR) in the strong, dynamical, and non-linear regime. In this paper, we follow an agnostic approach and we study the quasi-normal modes of gravitational perturbations of Johannsen black holes under the assumptions of the validity of the Einstein Equations an… ▽ More The detection of gravitational waves with ground-based laser interferometers has opened a new window to test and constrain General Relativity (GR) in the strong, dynamical, and non-linear regime. In this paper, we follow an agnostic approach and we study the quasi-normal modes of gravitational perturbations of Johannsen black holes under the assumptions of the validity of the Einstein Equations and of low values of the black hole spin parameter and deformation parameters. We find that the deformation parameter $α_{13}$ has a stronger impact on the quasi-normal modes than the other leading order deformation parameters ($α_{22}$, $α_{52}$, and $ε_{3}$). We derive a fitting formula for the fundamental modes with $l=2$ and $l=3$ for the deformation parameter $α_{13}$ valid in the slow rotation approximation ($a_* < 0.4$). Finally, we constrain $α_{13}$ from the event GW170104; within our analysis, we find that the data of GW170104 are consistent with the predictions of GR. △ Less

Submitted 17 April, 2025; v1 submitted 11 December, 2024; originally announced December 2024.

Comments: 17 pages, 7 figures. v2: refereed version

Journal ref: Eur. Phys. J. C (2025) 85:425

NICER Spectral and Timing Analysis of 4U 1630$-$47 and its Heartbeat State

Authors: Ningyue Fan, James F. Steiner, Cosimo Bambi, Erin Kara, Yuexin Zhang, Ole König

Abstract: We present a spectral and timing analysis of NICER observations of the black hole X-ray binary 4U 1630-47 from 2018 to 2024. We find relativistic reflection features in the hard and soft intermediate states, and disk wind absorption features in the soft intermediate state and soft state. We fit the reflection features with relxillCP and find a stable and untruncated disk in the intermediate states… ▽ More We present a spectral and timing analysis of NICER observations of the black hole X-ray binary 4U 1630-47 from 2018 to 2024. We find relativistic reflection features in the hard and soft intermediate states, and disk wind absorption features in the soft intermediate state and soft state. We fit the reflection features with relxillCP and find a stable and untruncated disk in the intermediate states; we fit the wind features with XSTAR and find a stable, highly ionized wind with high column density across different outbursts. Specifically, the heartbeat state is seen in two observations in 2021 and 2023 respectively. Through the phase-resolved spectral fitting, we find the flux of the source to be correlated with the disk parameters while no strong correlation with the coronal parameters is observed, consistent with the scenario given by the inner disk radiation pressure instability. A hard lag on the time scale of 1 s and high coherence is observed near the characteristic frequency of the heartbeat, which can be explained by the viscous propagation of mass accretion fluctuations in the disk. The positive relationship between the heartbeat fractional rms and energy can possibly be explained by a disk-originated oscillation which is then magnified by the corona scattering. △ Less

Submitted 22 April, 2025; v1 submitted 10 December, 2024; originally announced December 2024.

Comments: 18 pages, 19 figures. v2: refereed version

Journal ref: Astrophys.J. 984: 31 (2025)

About the accuracy of the relxill/relxill_nk models in view of the next generation of X-ray missions

Authors: Honghui Liu, Askar B. Abdikamalov, Temurbek Mirzaev, Cosimo Bambi, Thomas Dauser, Javier A. Garcia, Zuobin Zhang

Abstract: X-ray reflection spectroscopy is a powerful tool to study the strong gravity region of black holes. The next generation of astrophysical X-ray missions promises to provide unprecedented high-quality data, which could permit us to get very precise measurements of the properties of the accretion flow and of the spacetime geometry in the strong gravity region around these objects. In this work, we te… ▽ More X-ray reflection spectroscopy is a powerful tool to study the strong gravity region of black holes. The next generation of astrophysical X-ray missions promises to provide unprecedented high-quality data, which could permit us to get very precise measurements of the properties of the accretion flow and of the spacetime geometry in the strong gravity region around these objects. In this work, we test the accuracy of the relativistic calculations of the reflection model relxill and of its extension to non-Kerr spacetimes relxill_nk in view of the next generation of X-ray missions. We simulate simultaneous observations with Athena/X-IFU and LAD of bright Galactic black holes with a precise and accurate ray-tracing code and we fit the simulated data with the latest versions of relline and relline_nk. While we always recover the correct input parameters, we find residuals in the fits when the emission from the inner part of the accretion disk is higher. Such residuals disappear if we increase the number of interpolation points on the disk in the integral of the transfer function. We also simulate full reflection spectra and find that the emission angle from the accretion disk should be treated properly in this case. △ Less

Submitted 29 November, 2024; originally announced December 2024.

Comments: 11 pages, 9 figures

Journal ref: Mon. Not. Roy. Astron. Soc. 536, 2594-2602 (2025)

Towards a new generation of reflection models for precision measurements of accreting black holes

Authors: Cosimo Bambi

Abstract: Blurred reflection features are commonly observed in the X-ray spectra of accreting black holes. In the presence of high-quality data and with the correct astrophysical model, X-ray reflection spectroscopy is a powerful tool to probe the strong gravity region of black holes, study the morphology of the accreting matter, measure black hole spins, and test Einstein's theory of General Relativity in… ▽ More Blurred reflection features are commonly observed in the X-ray spectra of accreting black holes. In the presence of high-quality data and with the correct astrophysical model, X-ray reflection spectroscopy is a powerful tool to probe the strong gravity region of black holes, study the morphology of the accreting matter, measure black hole spins, and test Einstein's theory of General Relativity in the strong field regime. In the past 10-15 years, there has been significant progress in the development of the analysis of these reflection features, thanks to both more sophisticated theoretical models and new observational data. However, the next generation of X-ray missions (e.g. eXTP, Athena, HEX-P) promises to provide unprecedented high-quality data, which will necessarily require more accurate synthetic reflection spectra than those available today. In this talk, I will review the state-of-the-art in reflection modeling and I will present current efforts to develop a new generation of reflection models with machine learning techniques. △ Less

Submitted 3 October, 2024; originally announced October 2024.

Comments: 15 pages, 2 figures. Talk given at the workshop "Frontier Research in Astrophysics - IV" (Palermo, Italy, 9-14 September 2024)

Journal ref: PoS FRAPWS2024 (2025) 024

Gravitational Wave Astronomy With TianQin

Authors: En-Kun Li, Shuai Liu, Alejandro Torres-Orjuela, Xian Chen, Kohei Inayoshi, Long Wang, Yi-Ming Hu, Pau Amaro-Seoane, Abbas Askar, Cosimo Bambi, Pedro R. Capelo, Hong-Yu Chen, Alvin J. K. Chua, Enrique Condés-Breña, Lixin Dai, Debtroy Das, Andrea Derdzinski, Hui-Min Fan, Michiko Fujii, Jie Gao, Mudit Garg, Hongwei Ge, Mirek Giersz, Shun-Jia Huang, Arkadiusz Hypki , et al. (28 additional authors not shown)

Abstract: The opening of the gravitational wave window has significantly enhanced our capacity to explore the universe's most extreme and dynamic sector. In the mHz frequency range, a diverse range of compact objects, from the most massive black holes at the farthest reaches of the Universe to the lightest white dwarfs in our cosmic backyard, generate a complex and dynamic symphony of gravitational wave sig… ▽ More The opening of the gravitational wave window has significantly enhanced our capacity to explore the universe's most extreme and dynamic sector. In the mHz frequency range, a diverse range of compact objects, from the most massive black holes at the farthest reaches of the Universe to the lightest white dwarfs in our cosmic backyard, generate a complex and dynamic symphony of gravitational wave signals. Once recorded by gravitational wave detectors, these unique fingerprints have the potential to decipher the birth and growth of cosmic structures over a wide range of scales, from stellar binaries and stellar clusters to galaxies and large-scale structures. The TianQin space-borne gravitational wave mission is scheduled for launch in the 2030s, with an operational lifespan of five years. It will facilitate pivotal insights into the history of our universe. This document presents a concise overview of the detectable sources of TianQin, outlining their characteristics, the challenges they present, and the expected impact of the TianQin observatory on our understanding of them. △ Less

Submitted 2 December, 2024; v1 submitted 29 September, 2024; originally announced September 2024.

Comments: TianQin Gravitational Wave Whitepaper, 72 pages, 30 figures

Black hole X-ray spectra: notes on the relativistic calculations

Authors: Cosimo Bambi

Abstract: This is a collection of notes to calculate electromagnetic spectra of geometrically thin and optically thick accretion disks around black holes. The presentation is intentionally pedagogical and most calculations are reported step by step. In the disk-corona model, the spectrum of a source has three components: a thermal component from the disk, a Comptonized component from the corona, and a refle… ▽ More This is a collection of notes to calculate electromagnetic spectra of geometrically thin and optically thick accretion disks around black holes. The presentation is intentionally pedagogical and most calculations are reported step by step. In the disk-corona model, the spectrum of a source has three components: a thermal component from the disk, a Comptonized component from the corona, and a reflection component from the disk. These notes review only the relativistic calculations. The formulas presented here are valid for stationary, axisymmetric, asymptotically-flat, circular spacetimes, so they can be potentially used for a large class of black hole solutions. △ Less

Submitted 22 August, 2024; originally announced August 2024.

Comments: 25 pages, 8 figures. Lecture notes

Observed jet power and radiative efficiency of black hole candidates in Kerr + PFDM model

Authors: Bakhtiyor Narzilloev, Ahmadjon Abdujabbarov, Bobomurat Ahmedov, Cosimo Bambi

Abstract: In this research, we explore the electromagnetic energy emitted by astrophysical black holes within the Kerr+PFDM spacetime, a model encompassing rotating black holes surrounded by dark matter. Our investigation focuses on black holes within X-ray binary systems, namely GRS 1915+105, GRO J1655-40, XTE J1550-564, A0620-00, H1743-322, and GRS 1124-683. Our findings indicate that the Kerr+PFDM spacet… ▽ More In this research, we explore the electromagnetic energy emitted by astrophysical black holes within the Kerr+PFDM spacetime, a model encompassing rotating black holes surrounded by dark matter. Our investigation focuses on black holes within X-ray binary systems, namely GRS 1915+105, GRO J1655-40, XTE J1550-564, A0620-00, H1743-322, and GRS 1124-683. Our findings indicate that the Kerr+PFDM spacetime can account for the radiative efficiency of these sources as determined through the continuum fitting method (CFM). Additionally, employing the Blandford-Znajeck mechanism, we demonstrate the ability to replicate the observed jet power. By combining the outcomes of both analyses for the selected objects, we establish more rigorous constraints on the spacetime parameters. Notably, our results reveal that similar to the Kerr spacetime, the Kerr+PFDM spacetime cannot simultaneously account for the observed jet power and radiative efficiency of GRS 1915+105. △ Less

Submitted 10 August, 2024; originally announced August 2024.

Comments: 13 pages, 9 figures. Accepted in EPJC. arXiv admin note: text overlap with arXiv:2310.10554

Journal ref: Eur. Phys. J. C (2024) 84:909

Testing the Kerr nature with binary black hole inspirals

Authors: Swarnim Shashank, Cosimo Bambi, Rittick Roy

Abstract: The theory of general relativity (GR) is the standard framework for the description of gravitation and the geometric structure of spacetime. With the recent advancement of observational instruments, it has become possible to probe the strong field regime to test GR. We present the constraints obtained from the binary black hole inspiral data of the LIGO-Virgo-Kagra (LVK) gravitational wave (GW) ob… ▽ More The theory of general relativity (GR) is the standard framework for the description of gravitation and the geometric structure of spacetime. With the recent advancement of observational instruments, it has become possible to probe the strong field regime to test GR. We present the constraints obtained from the binary black hole inspiral data of the LIGO-Virgo-Kagra (LVK) gravitational wave (GW) observations on the deformations of some popular parametrized non-Kerr metrics. △ Less

Submitted 17 July, 2024; originally announced July 2024.

Comments: 7 pages, 1 figure. Prepared for the proceeding of the seventh international workshop on the TianQin science mission

Journal ref: Springer Proc. Phys. 428, 57-64 (2025)

Modeling reflection spectra of super-Eddington X-ray sources

Authors: Swarnim Shashank, Askar B. Abdikamalov, Honghui Liu, Temurbek Mirzaev, Jiachen Jiang, Cosimo Bambi, Fergus Baker, Andrew Young

Abstract: Relativistic reflection is a common feature in the X-ray observations of accreting compact objects. We present reflux, a new X-ray reflection model for spectral analysis of super-Eddington sources. We develop two relativistic reflection frameworks for super-Eddington accretion: a slim-disk model that self-consistently accounts for disk thickening and self-shadowing, and an optically thick wind mod… ▽ More Relativistic reflection is a common feature in the X-ray observations of accreting compact objects. We present reflux, a new X-ray reflection model for spectral analysis of super-Eddington sources. We develop two relativistic reflection frameworks for super-Eddington accretion: a slim-disk model that self-consistently accounts for disk thickening and self-shadowing, and an optically thick wind model that treats reflection off a funnel-shaped outflow. The slim-disk model offers a geometry where the inner disk thickness is proportional to radius, becoming thicker as the mass accretion rate increases. The wind model measures the opening angle of the funnel, the wind speed, and wind acceleration radius. The slim-disk profile reduces the brightness of the blue horn in the Fe K emission line for a fixed emissivity and significantly changes the intensity profile for a lamppost geometry. The wind model shows a blue-shifted iron line due to high velocity outflows. Both models assume a spherically symmetric spacetime. We apply the wind model to the XMM-Newton spectrum of the tidal disruption event Swift J1644+57, where the Fe K profile is expected to be shaped by scattering in an outflowing funnel. We constrain the opening angle of the funnel and find a high velocity of the wind. △ Less

Submitted 12 December, 2025; v1 submitted 17 July, 2024; originally announced July 2024.

Comments: 10 pages, 7 figures, accepted for publication on ApJ

Journal ref: Astrophys.J. 996:51 (2026)

Non-Kerr Constraints using Binary Black Hole inspirals considering phase modifications up to 4 PN order

Authors: Debtroy Das, Swarnim Shashank, Cosimo Bambi

Abstract: The gravitational field around an astrophysical black hole (BH) is thought to be described by the Kerr spacetime, which is a solution of the Einstein equation. Signatures of binary black hole (BBH) coalescence in gravitational waves (GW) follow the Kerr spacetime as the theoretical foundation. Hence, any possible deviations from the Kerr spacetime around BHs serve as a test of the nature of gravit… ▽ More The gravitational field around an astrophysical black hole (BH) is thought to be described by the Kerr spacetime, which is a solution of the Einstein equation. Signatures of binary black hole (BBH) coalescence in gravitational waves (GW) follow the Kerr spacetime as the theoretical foundation. Hence, any possible deviations from the Kerr spacetime around BHs serve as a test of the nature of gravity in the strong-field regime and of the predictions of General Relativity. In our study, we perform a theory-agnostic test of the Kerr hypothesis using BBH inspirals from the third Gravitational-wave Transient Catalog (GWTC-3). Considering the Johannsen metric, we compute the leading-order deviation to the emitted GW in the frequency domain. Our results provide constraints on two deformation parameters ($α_{13}$ and $ε_3$) and demonstrate the degeneracy between these two non-Kerr parameters. △ Less

Submitted 6 June, 2024; originally announced June 2024.

Comments: 10 pages, 6 figures. Supplemental material (16 pages, 16 figures) available from the authors upon reasonable request

Journal ref: Eur. Phys. J. C (2024) 84:1237

X-ray spectra of black hole X-ray binaries with returning radiation

Authors: Temurbek Mirzaev, Cosimo Bambi, Askar B. Abdikamalov, Jiachen Jiang, Honghui Liu, Shafqat Riaz, Swarnim Shashank

Abstract: In the disk-corona model, the X-ray spectrum of a stellar-mass black hole in an X-ray binary is characterized by three components: a thermal component from a thin and cold accretion disk, a Comptonized component from a hot corona, and a reflection component produced by illumination of the cold disk by the hot corona. In this paper, we assume a lamppost corona and we improve previous calculations o… ▽ More In the disk-corona model, the X-ray spectrum of a stellar-mass black hole in an X-ray binary is characterized by three components: a thermal component from a thin and cold accretion disk, a Comptonized component from a hot corona, and a reflection component produced by illumination of the cold disk by the hot corona. In this paper, we assume a lamppost corona and we improve previous calculations of the X-ray spectrum of black hole X-ray binaries. The reflection spectrum is produced by the direct radiation from the corona as well as by the returning radiation of the thermal and reflection components and is calculated considering the actual spectrum illuminating the disk. If we turn the corona off, the reflection spectrum is completely generated by the returning radiation of the thermal component, as it may happen for some sources in soft spectral states. After choosing the radial density profile of the accretion disk, the ionization parameter is calculated self-consistently at any radial coordinate of the disk from the illuminating X-ray flux and the local electron density. We show the predictions of our model in different regimes and we discuss its current limitations as well as the next steps to improve it. △ Less

Submitted 26 November, 2024; v1 submitted 3 June, 2024; originally announced June 2024.

Comments: 10 pages, 6 figures. v2: refereed version

Journal ref: Astrophys.J. 976: 229 (2024)

The 2018 outburst of MAXI J1820+070 as seen by Insight-HXMT

Authors: Ningyue Fan, Songyu Li, Rui Zhan, Honghui Liu, Zuobin Zhang, Cosimo Bambi, Long Ji, Xiang Ma, James F. Steiner, Shuang-Nan Zhang, Menglei Zhou

Abstract: We present an analysis of the whole 2018 outburst of the black hole X-ray binary MAXI J1820+070 with Insight-HXMT data. We focus our study on the temporal evolution of the parameters of the source. We employ two different models to fit the disk's thermal spectrum: the Newtonian model DISKBB and the relativistic model NKBB. These two models provide different pictures of the source in the soft state… ▽ More We present an analysis of the whole 2018 outburst of the black hole X-ray binary MAXI J1820+070 with Insight-HXMT data. We focus our study on the temporal evolution of the parameters of the source. We employ two different models to fit the disk's thermal spectrum: the Newtonian model DISKBB and the relativistic model NKBB. These two models provide different pictures of the source in the soft state. With DISKBB, we find that the inner edge of the disk is close to the innermost stable circular orbit of a fast-rotating black hole and the corona changes geometry from the hard to the soft state. With NKBB, we find that the disk is truncated in the soft state and that the coronal geometry does not change significantly during the whole outburst. However, the model with NKBB can predict an untruncated disk around a fast-rotating black hole if we assume that the disk inclination angle is around $30^\circ$ (instead of $\sim 60^\circ$, which is the inclination angle of the jet and is usually adopted as the disk inclination angle in the literature) and we employ a high-density reflection model. In such a case, we measure a high value of the black hole spin parameter with observations in the soft state, in agreement with the high spin value found from the analysis of the reflection features and in disagreement with the low spin value found by previous continuum-fitting method measurements with the disk inclination angle set to the value of the jet inclination angle. △ Less

Submitted 1 July, 2024; v1 submitted 18 April, 2024; originally announced April 2024.

Comments: 14 pages, 8 figures. v2: refereed version

Journal ref: Astrophys.J. 969: 61 (2024)

Impact of reflection Comptonization on X-ray reflection spectroscopy: the case of EXO 1846-031

Authors: Songcheng Li, Honghui Liu, Cosimo Bambi, James F. Steiner, Zuobin Zhang

Abstract: Within the disk-corona model, it is natural to expect that a fraction of reflection photons from the disk are Compton scattered by the hot corona (reflection Comptonization), even if this effect is usually ignored in X-ray reflection spectroscopy studies. We study the effect by using NICER and NuSTAR data of the Galactic black hole EXO 1846-031 in the hard-intermediate state with the model SIMPLCU… ▽ More Within the disk-corona model, it is natural to expect that a fraction of reflection photons from the disk are Compton scattered by the hot corona (reflection Comptonization), even if this effect is usually ignored in X-ray reflection spectroscopy studies. We study the effect by using NICER and NuSTAR data of the Galactic black hole EXO 1846-031 in the hard-intermediate state with the model SIMPLCUTX. Our analysis suggests that a scattered fraction of order 10% is required to fit the data, but the inclusion of reflection Comptonization does not change appreciably the measurements of key-parameters like the black hole spin and the inclination angle of the disk. △ Less

Submitted 13 August, 2024; v1 submitted 10 April, 2024; originally announced April 2024.

Comments: 13 pages, 7 figures. v2: refereed version

Journal ref: Phys. Rev. D 110, 043021 (2024)

Variable ionized disk wind in MAXI J1803-298 revealed by NICER

Authors: Zuobin Zhang, Cosimo Bambi, Honghui Liu, Jiachen Jiang, Fangzheng Shi, Yuexin Zhang, Andrew J. Young, John A. Tomsick, Benjamin M. Coughenour, Menglei Zhou

Abstract: We present the results from the NICER observation data of MAXI J1803-298 across the entire 2021 outburst. In the intermediate and soft state, we detect significant absorption lines at $\sim 7.0$ keV and $\sim 6.7$ keV, arising from the X-ray disk wind outflowing with a velocity of hundreds of km per second along our line of sight. The fitting results from photoionized model suggest that the wind i… ▽ More We present the results from the NICER observation data of MAXI J1803-298 across the entire 2021 outburst. In the intermediate and soft state, we detect significant absorption lines at $\sim 7.0$ keV and $\sim 6.7$ keV, arising from the X-ray disk wind outflowing with a velocity of hundreds of km per second along our line of sight. The fitting results from photoionized model suggest that the wind is driven by thermal pressure and the mass-loss rate is low. We find a clear transition for iron from predominantly H-like to predominantly He-like during the intermediate-to-soft state transition. Our results indicate this transition for iron is caused by the evolution of the illuminating spectrum and the slow change of the geometric properties of the disk wind together. The coexistence of disk wind and QPOs features in intermediate state is also reported. Our study makes MAXI J1803-298 the first source in which a transition from optical wind to X-ray wind is detected, offering new insights into the evolution of disk winds across an entire outburst and long-term coupling of accretion disks and mass outflows around accreting black holes. △ Less

Submitted 23 October, 2024; v1 submitted 15 February, 2024; originally announced February 2024.

Comments: 13 pages, 7 figures. v2: refereed version

Journal ref: Astrophys.J. 975: 22 (2024)

Towards more accurate synthetic reflection spectra: improving the calculations of returning radiation

Authors: Temurbek Mirzaev, Shafqat Riaz, Askar B. Abdikamalov, Cosimo Bambi, Thomas Dauser, Javier A. Garcia, Jiachen Jiang, Honghui Liu, Swarnim Shashank

Abstract: We present a new model to calculate reflection spectra of thin accretion disks in Kerr spacetimes. Our model includes the effect of returning radiation, which is the radiation that is emitted by the disk and returns to the disk because of the strong light bending near a black hole. The major improvement with respect to the existing models is that it calculates the reflection spectrum at every poin… ▽ More We present a new model to calculate reflection spectra of thin accretion disks in Kerr spacetimes. Our model includes the effect of returning radiation, which is the radiation that is emitted by the disk and returns to the disk because of the strong light bending near a black hole. The major improvement with respect to the existing models is that it calculates the reflection spectrum at every point on the disk by using the actual spectrum of the incident radiation. Assuming a lamppost coronal geometry, we simulate simultaneous observations of NICER and NuSTAR of bright Galactic black holes and we fit the simulated data with the latest version of RELXILL (modified to read the table of REFLIONX, which is the non-relativistic reflection model used in our calculations). We find that RELXILL with returning radiation cannot fit well the simulated data when the black hole spin parameter is very high and the coronal height and disk's ionization parameter are low, and some parameters can be significantly overestimated or underestimated. We can find better fits and recover the correct input parameters as the value of the black hole spin parameter decreases and the value of the coronal height increases. △ Less

Submitted 8 April, 2024; v1 submitted 10 January, 2024; originally announced January 2024.

Comments: 19 pages, 14 figures. v2: refereed version

Journal ref: Astrophys.J. 965: 66 (2024)

Testing General Relativity with black hole X-ray data

Authors: Cosimo Bambi

Abstract: The theory of General Relativity has successfully passed a large number of observational tests without requiring any adjustment from its original version proposed by Einstein in 1915. The past 8 years have seen significant advancements in the study of the strong-field regime, which can now be tested with gravitational waves, X-ray data, and black hole imaging. This is a compact and pedagogical rev… ▽ More The theory of General Relativity has successfully passed a large number of observational tests without requiring any adjustment from its original version proposed by Einstein in 1915. The past 8 years have seen significant advancements in the study of the strong-field regime, which can now be tested with gravitational waves, X-ray data, and black hole imaging. This is a compact and pedagogical review on the state-of-the-art of the tests of General Relativity with black hole X-ray data. △ Less

Submitted 10 December, 2023; originally announced December 2023.

Comments: 10 pages, 2 figures. Talk given at the "XXXV International Workshop on High Energy Physics - From Quarks to Galaxies: Elucidating Dark Sides" (Protvino, Russia, 28 November - 1 December 2023)

Journal ref: Physics of Particles and Nuclei 55, 1420-1425 (2024)

About the ability of agnostic X-ray tests of the Kerr Hypothesis to discover new physics

Authors: Shuaitongze Zhao, Shafqat Riaz, Cosimo Bambi

Abstract: In the past decade, we have seen an unprecedented progress in our ability of testing general relativity in the strong field regime with black hole observations. Most studies have focused on the so-called tests of the Kerr hypothesis: they have tried to verify whether the spacetime geometry around black holes is described by the Kerr solution as expected in general relativity. One can follow either… ▽ More In the past decade, we have seen an unprecedented progress in our ability of testing general relativity in the strong field regime with black hole observations. Most studies have focused on the so-called tests of the Kerr hypothesis: they have tried to verify whether the spacetime geometry around black holes is described by the Kerr solution as expected in general relativity. One can follow either a theory-specific analysis or an agnostic approach. Each strategy has its advantages and disadvantages. In this work, we study the ability of agnostic X-ray tests of the Kerr hypothesis to discover new physics. We simulate X-ray observations of bright Galactic black holes of specific theories of gravity and we analyze the simulated data with a reflection model employing the correct theory of gravity and another reflection model for agnostic tests of the Kerr hypothesis. Our results suggest that agnostic X-ray tests are valid tools to discover new physics, but their constraining power may be lower than a theory-specific analysis. △ Less

Submitted 19 March, 2024; v1 submitted 29 October, 2023; originally announced October 2023.

Comments: 12 pages, 5 figures. v2: refereed version

Journal ref: Phys. Rev. D 109, 064059 (2024)

Kerr-Taub-NUT spacetime to explain the jet power and the radiative efficiency of astrophysical black holes

Authors: Bakhtiyor Narzilloev, Ahmadjon Abdujabbarov, Bobomurat Ahmedov, Cosimo Bambi

Abstract: In this work, we investigate the electromagnetic energy released by astrophysical black holes within the Kerr-Taub-NUT solution, which describes rotating black holes with a nonvanishing gravitomagnetic charge. In our study, we consider the black holes in the X-ray binary systems GRS 1915+105, GRO J1655-40, XTE J1550-564, A0620-00, H1743-322, and GRS 1124-683. We show that the Kerr-Taub-NUT spaceti… ▽ More In this work, we investigate the electromagnetic energy released by astrophysical black holes within the Kerr-Taub-NUT solution, which describes rotating black holes with a nonvanishing gravitomagnetic charge. In our study, we consider the black holes in the X-ray binary systems GRS 1915+105, GRO J1655-40, XTE J1550-564, A0620-00, H1743-322, and GRS 1124-683. We show that the Kerr-Taub-NUT spacetime can explain the radiative efficiency of these sources inferred from the continuum fitting method (CFM). We also show that, in the framework of the Blandford-Znajeck mechanism, it is possible to reproduce the observed jet power. We unify the results of the two analyses for the selected objects to get more stringent constraints on the spacetime parameters. We show that, as in the case of the Kerr spacetime, the Kerr-Taub-NUT solution cannot simultaneously explain the observed jet power and radiative efficiency of GRS 1915+105. △ Less

Submitted 10 November, 2023; v1 submitted 16 October, 2023; originally announced October 2023.

Comments: 13 pages, 9 figures. v3: references added

Journal ref: Phys. Rev. D 108, 103013 (2023)

Measuring Black Hole Spins through X-ray Reflection Spectroscopy and the Relativistic Precession Model: the case of XTE J1859+226

Authors: Gitika Mall, Honghui Liu, Cosimo Bambi, James F. Steiner, Javier A. Garcia

Abstract: The development of techniques to measure accurately black hole spins is crucial to study the physics and astrophysics of these objects. X-ray reflection spectroscopy is currently the most popular method to estimate the spins of accreting black holes; so far it has provided a spin measurement of about 40 stellar-mass black holes in X-ray binaries and 40 supermassive black holes in active galactic n… ▽ More The development of techniques to measure accurately black hole spins is crucial to study the physics and astrophysics of these objects. X-ray reflection spectroscopy is currently the most popular method to estimate the spins of accreting black holes; so far it has provided a spin measurement of about 40 stellar-mass black holes in X-ray binaries and 40 supermassive black holes in active galactic nuclei. The relativistic precession model (RPM) is another method to measure the spins of stellar-mass black holes: it requires the measurement of the frequencies of three simultaneous quasi-periodic oscillations and can potentially provide precise estimates of the black hole mass and spin. However, the two methods do not seem to provide consistent results when applied to the same sources, which questions the reliability and accuracy of these measurements. Recently, the RPM has been applied to infer the spin of the black hole in XTE J1859+226. The authors found $a_* = 0.149 \pm 0.005$ (68% CL). There are no other spin measurements of this source. We looked for archived RXTE observations of XTE J1859+226 with blurred reflection features and found 23 spectra suitable for measuring the spin. We employed two different models with relxill and relxillD and obtained a higher spin value from all these fits. From simultaneous fitting of 7 spectra of higher quality, we found $a_* = 0.986^{+0.001}_{-0.004}$ and $a_* =0.987 \pm 0.003$ (90% CL, statistical) with relxill and relxillD, respectively. Our results confirm the discrepancy between the spin measurements inferred from the two techniques. △ Less

Submitted 11 January, 2024; v1 submitted 10 September, 2023; originally announced September 2023.

Comments: 15 pages, 11 figures. v2: refereed version

Journal ref: Mon. Not. Roy. Astron. Soc. 527, 12053-12064 (2024)

Testing General Relativity with Black Hole X-Ray Data and ABHModels

Authors: Cosimo Bambi, Askar B. Abdikamalov, Honghui Liu, Shafqat Riaz, Swarnim Shashank, Menglei Zhou

Abstract: The past 10 years have seen tremendous progress in our capability of testing General Relativity in the strong field regime with black hole observations. 10 years ago, the theory of General Relativity was almost completely unexplored in the strong field regime. Today, we have gravitational wave data of the coalescence of stellar-mass black holes, radio images of the supermassive black holes SgrA… ▽ More The past 10 years have seen tremendous progress in our capability of testing General Relativity in the strong field regime with black hole observations. 10 years ago, the theory of General Relativity was almost completely unexplored in the strong field regime. Today, we have gravitational wave data of the coalescence of stellar-mass black holes, radio images of the supermassive black holes SgrA$^*$ and M87$^*$, and high-quality X-ray data of stellar-mass black holes in X-ray binaries and supermassive black holes in active galactic nuclei. In this manuscript, we will review current efforts to test General Relativity with black hole X-ray data and we will provide a detailed description of the public codes available on ABHModels. △ Less

Submitted 23 April, 2024; v1 submitted 24 July, 2023; originally announced July 2023.

Comments: 31 pages, 5 figures. Talk given at the Frascati Workshop 2023 "Multifrequency Behaviour of High Energy Cosmic Sources - XIV" (Palermo, Italy, 12-17 June 2023). v2: refereed version

Journal ref: PoS MULTIF2023, 016 (2024)

Multi-wavelength temporal variability of the blazar PKS 1510-089

Authors: Q. Yuan, Pankaj Kushwaha, Alok C. Gupta, Ashutosh Tripathi, Paul J. Wiita, M. Zhang, X. Liu, Anne Lahteenmaki, Merja Tornikoski, Joni Tammi, Venkatessh Ramakrishnan, L. Cui, X. Wang, M. F. Gu, Cosimo Bambi, A. E. Volvach

Abstract: We perform correlation and periodicity search analyses on long-term multi-band light curves of the FSRQ 1510-089 observed by the space-based Fermi--Large Area Telescope in gamma-rays, the SMARTS and Steward Observatory telescopes in optical and near-infrared (NIR) and the 13.7 m radio telescope in Metsahovi Radio Observatory between 2008 and 2018. The z-transform discrete correlation function meth… ▽ More We perform correlation and periodicity search analyses on long-term multi-band light curves of the FSRQ 1510-089 observed by the space-based Fermi--Large Area Telescope in gamma-rays, the SMARTS and Steward Observatory telescopes in optical and near-infrared (NIR) and the 13.7 m radio telescope in Metsahovi Radio Observatory between 2008 and 2018. The z-transform discrete correlation function method is applied to study the correlation and possible time lags among these multi band light curves. Among all pairs of wavelengths, the gamma-ray vs. optical/NIR and optical vs. NIR correlations show zero time lags; however, both the gamma-ray and optical/NIR emissions precede the radio radiation. The Generalized Lomb-Scargle periodogram, Weighted Wavelet Z-transform, and REDFIT techniques are employed to investigate the unresolved-core-emission dominated 37 GHz light curve and yield evidence for a quasi-period around 1540 days, although given the length of the whole data set it cannot be claimed to be significant. We also investigate the optical/NIR color variability and find that this source shows a simple redder-when-brighter behavior over time, even in the low flux state. △ Less

Submitted 16 June, 2023; originally announced June 2023.

Comments: Accepted for publication in ApJ; 20 pages, 9 figures, 4 tables

Testing Regular Black Holes with X-ray data of GX 339-4

Authors: Shafqat Riaz, Michail Kyriazis, Askar B. Abdikamalov, Cosimo Bambi, Swarnim Shashank

Abstract: Regular black holes are singularity-free black hole spacetimes proposed to solve the problem of the presence of spacetime singularities that plagues the black holes of general relativity and most theories of gravity. In this work, we consider the regular black holes recently proposed by Mazza, Franzin & Liberati and we extend previous studies to get a more stringent observational constraint on the… ▽ More Regular black holes are singularity-free black hole spacetimes proposed to solve the problem of the presence of spacetime singularities that plagues the black holes of general relativity and most theories of gravity. In this work, we consider the regular black holes recently proposed by Mazza, Franzin & Liberati and we extend previous studies to get a more stringent observational constraint on the regularization parameter $l$. We study simultaneous observations of NuSTAR and Swift of the Galactic black hole in GX 339-4 during its outburst in 2015. The quality of the NuSTAR data is exceptionally good and the spectrum of the source presents both a strong thermal component and prominent relativistically blurred reflection features. This permits us to measure the regularization parameter $l$ from the simultaneous analysis of the thermal spectrum and the reflection features. From our analysis, we find the constraint $l/M < 0.44$ (90% CL), which is stronger than previous constraints inferred with X-ray and gravitational wave data. △ Less

Submitted 12 March, 2025; v1 submitted 16 June, 2023; originally announced June 2023.

Comments: 1+20 pages, 4 figures. v2: refereed version

Journal ref: JCAP 2503:022 (2025)

Evolution of QPOs in GX 339-4 and EXO 1846-031 with Insight-HXMT and NICER

Authors: Zuobin Zhang, Honghui Liu, Divya Rawat, Cosimo Bambi, Ranjeev Misra, Pengju Wang, Long Ji, Shu Zhang, Shuangnan Zhang

Abstract: We conduct a spectral and timing analysis of GX 339-4 and EXO 1846-031 with the aim of studying the evolution of Type-C QPOs with spectral parameters. The high cadence data from Insight-HXMT and NICER allow us to track them. Type-C QPOs appear at the end of low-hard state and/or hard-intermediate state. The results reveal that the QPO frequency is closely related to the inner disk radius and mass… ▽ More We conduct a spectral and timing analysis of GX 339-4 and EXO 1846-031 with the aim of studying the evolution of Type-C QPOs with spectral parameters. The high cadence data from Insight-HXMT and NICER allow us to track them. Type-C QPOs appear at the end of low-hard state and/or hard-intermediate state. The results reveal that the QPO frequency is closely related to the inner disk radius and mass accretion rate in the two sources. Such a correlation is nicely consistent with the dynamic frequency model. △ Less

Submitted 14 August, 2024; v1 submitted 29 May, 2023; originally announced May 2023.

Comments: 14 pages, 15 figures. v2: refereed version

Journal ref: Astrophys.J. 971: 148 (2024)

X-Ray Tests of General Relativity with Black Holes

Authors: Cosimo Bambi

Abstract: General relativity is one of the pillars of modern physics. For decades, the theory has been mainly tested in the weak field regime with experiments in the Solar System and radio observations of binary pulsars. Until 2015, the strong field regime was almost completely unexplored. Thanks to new observational facilities, the situation has dramatically changed in the last few years. Today we have gra… ▽ More General relativity is one of the pillars of modern physics. For decades, the theory has been mainly tested in the weak field regime with experiments in the Solar System and radio observations of binary pulsars. Until 2015, the strong field regime was almost completely unexplored. Thanks to new observational facilities, the situation has dramatically changed in the last few years. Today we have gravitational wave data of the coalesce of stellar-mass compact objects from the LIGO-Virgo-KAGRA Collaboration, images at mm wavelengths of the supermassive black holes in M87$^*$ and SgrA$^*$ from the Event Horizon Telescope Collaboration, and X-ray data of accreting compact objects from a number of X-ray missions. Gravitational wave tests and black hole imaging tests are certainly more popular and are discussed in other articles of this Special Issue. The aim of the present manuscript is to provide a pedagogical review on X-ray tests of general relativity with black holes and to compare this kind of tests with those possible with gravitational wave data and black hole imaging. △ Less

Submitted 18 June, 2023; v1 submitted 18 May, 2023; originally announced May 2023.

Comments: 16 pages, 5 figures. Invited contribution for the Special Issue "Role of Black Holes in Testing Modified Theories of Gravity" for Symmetry (Ed. Rahul Kumar Walia). v2: refereed version

Journal ref: Symmetry 15: 1277 (2023)

An XMM-Newton Study of Six Narrow-Line Seyfert 1 Galaxies at z = 0.35--0.92

Authors: Zhibo Yu, Jiachen Jiang, Cosimo Bambi, Luigi C. Gallo, Dirk Grupe, Andrew C. Fabian, Christopher S. Reynolds, William N. Brandt

Abstract: We report a detailed analysis of the XMM-Newton spectra of six Narrow-Line Seyfert 1 (NLS1) galaxies at redshift z = 0.35--0.92. Compared with the NLS1s at lower redshift in the previously most-studied sample, these NLS1s have larger black hole (BH) masses ($\log\,M_\text{BH}>7.5$) with similar or even lower Eddington ratios. Our extended XMM-Newton sample of NLS1s shows strong soft X-ray excess e… ▽ More We report a detailed analysis of the XMM-Newton spectra of six Narrow-Line Seyfert 1 (NLS1) galaxies at redshift z = 0.35--0.92. Compared with the NLS1s at lower redshift in the previously most-studied sample, these NLS1s have larger black hole (BH) masses ($\log\,M_\text{BH}>7.5$) with similar or even lower Eddington ratios. Our extended XMM-Newton sample of NLS1s shows strong soft X-ray excess emission below 2 keV. The quantified soft excess strength does not show an obvious discrepancy from previous studies of the lower-redshift NLS1s. The systematic effect in the measurement of the Eddington ratio mainly lies in the bolometric correction factor. We also tentatively fit the spectra assuming two more physical models for the soft excess: warm Comptonization and relativistic reflection from the inner accretion disk. In the first scenario, we confirm the ubiquity of a warm and optically thick corona. The behavior of a single source can be better explained by relativistic reflection, although we cannot distinguish which model is a more favorable explanation for the soft excess based on the best-fit statistics. △ Less

Submitted 1 May, 2023; originally announced May 2023.

Comments: 13 pages, 10 figures

Journal ref: Monthly Notices of the Royal Astronomical Society, Volume 522, Issue 4, July 2023, Pages 5456-5468

Impact of the returning radiation in current tests of the Kerr black hole hypothesis using X-ray reflection spectroscopy

Authors: Shafqat Riaz, Temurbek Mirzaev, Askar B. Abdikamalov, Cosimo Bambi

Abstract: The past 10 years have seen remarkable progress in our capability of analyzing reflection features in the X-ray spectra of accreting black holes. Today X-ray reflection spectroscopy is a mature technique and a powerful tool for studying the accretion process around black holes, measuring black hole spins, and testing Einstein's theory of General Relativity in the strong field regime. However, curr… ▽ More The past 10 years have seen remarkable progress in our capability of analyzing reflection features in the X-ray spectra of accreting black holes. Today X-ray reflection spectroscopy is a mature technique and a powerful tool for studying the accretion process around black holes, measuring black hole spins, and testing Einstein's theory of General Relativity in the strong field regime. However, current reflection models still rely on a number of simplifications and caution is necessary when we derive very precise measurements. In this paper, we study the impact of the returning radiation on our capability of measuring the properties of black holes using X-ray reflection spectroscopy, and in particular on our capability of testing the Kerr black hole hypothesis. While the returning radiation alters the reflection spectrum of the disk, from the analysis of our simulations we find that models without returning radiation can normally recover well the correct black hole spin parameters and can test the Kerr metric. Our study thus confirms that current tests of the Kerr hypothesis using X-ray reflection spectroscopy can be robust. △ Less

Submitted 22 September, 2023; v1 submitted 22 March, 2023; originally announced March 2023.

Comments: 12 pages, 10 figures. v2: refereed version

Journal ref: Eur. Phys. J. C (2023) 83:838

High-density reflection spectroscopy of black hole X-ray binaries in the hard state

Authors: Honghui Liu, Jiachen Jiang, Zuobin Zhang, Cosimo Bambi, Andrew C. Fabian, Javier A. Garcia, Adam Ingram, Erin Kara, James F. Steiner, John A. Tomsick, Dominic J. Walton, Andrew J. Young

Abstract: We present a high-density relativistic reflection analysis of 21 spectra of six black hole X-ray binaries in the hard state with data from \textit{NuSTAR} and \textit{Swift}. We find that 76\% of the observations in our sample require a disk density higher than the 10$^{15}$~cm$^{-3}$ assumed in the previous reflection analysis. Compared with the measurements from active galactic nuclei, stellar m… ▽ More We present a high-density relativistic reflection analysis of 21 spectra of six black hole X-ray binaries in the hard state with data from \textit{NuSTAR} and \textit{Swift}. We find that 76\% of the observations in our sample require a disk density higher than the 10$^{15}$~cm$^{-3}$ assumed in the previous reflection analysis. Compared with the measurements from active galactic nuclei, stellar mass black holes have higher disk densities. Our fits indicate that the inner disk radius is close to the innermost stable circular orbit in the hard state. The coronal temperatures are significantly lower than the prediction of a purely thermal plasma, which can be explained with a hybrid plasma model. If the disk density is fixed at 10$^{15}$~cm$^{-3}$, the disk ionization parameter would be overestimated while the inner disk radius is unaffected. △ Less

Submitted 13 July, 2023; v1 submitted 19 March, 2023; originally announced March 2023.

Comments: 17 pages, 9 figures, accepted by ApJ

Journal ref: ApJ, 951, 145 (2023)

Testing the $δ$-Kerr metric with black hole X-ray data

Authors: Jiahao Tao, Shafqat Riaz, Biao Zhou, Askar B. Abdikamalov, Cosimo Bambi, Daniele Malafarina

Abstract: The spacetime around astrophysical black holes is thought to be described by the Kerr solution. However, even within general relativity, there is not yet a proof that the final product of the complete collapse of an uncharged body can only be a Kerr black hole. We can thus speculate on the possibility that the spacetime around astrophysical black holes may be described by other solutions of the Ei… ▽ More The spacetime around astrophysical black holes is thought to be described by the Kerr solution. However, even within general relativity, there is not yet a proof that the final product of the complete collapse of an uncharged body can only be a Kerr black hole. We can thus speculate on the possibility that the spacetime around astrophysical black holes may be described by other solutions of the Einstein Equations and we can test such a hypothesis with observations. In this work, we consider the $δ$-Kerr metric, which is an exact solution of the field equations in vacuum and can be obtained from a non-linear superposition of the Kerr metric with a static axially symmetric solution, often referred to as the $δ$-metric. The parameter $δ=1+q$ quantifies the departure of the source from the Kerr metric and for $q=0$ we recover the Kerr solution. From the analysis of the reflection features in the X-ray spectrum of the Galactic black hole in EXO 1846-031, we find $-0.1 < q < 0.7$ (90% CL), which is consistent with the hypothesis that the spacetime around the compact object in EXO 1846-031 is a Kerr black hole but does not entirely rule out the $δ$-Kerr metric. △ Less

Submitted 25 October, 2023; v1 submitted 28 January, 2023; originally announced January 2023.

Comments: 17 pages, 7 figures. v2: refereed version

Journal ref: Phys. Rev. D 108, 083036 (2023)

The hard to soft transition of GX 339-4 as seen by Insight-HXMT

Authors: Honghui Liu, Cosimo Bambi, Jiachen Jiang, Javier A. Garcia, Long Ji, Lingda Kong, Xiaoqin Ren, Shu Zhang, Shuangnan Zhang

Abstract: We present an analysis of the relativistic reflection spectra of GX 339-4 during the hard-to-soft transition of its 2021 outburst observed by Insight-HXMT. The strong relativistic reflection signatures in the data suggest a high black hole spin ($a_*>0.86$) and an intermediate disk inclination angle (35-43 deg) of the system. The transition is accompanied by an increasing temperature of the disk a… ▽ More We present an analysis of the relativistic reflection spectra of GX 339-4 during the hard-to-soft transition of its 2021 outburst observed by Insight-HXMT. The strong relativistic reflection signatures in the data suggest a high black hole spin ($a_*>0.86$) and an intermediate disk inclination angle (35-43 deg) of the system. The transition is accompanied by an increasing temperature of the disk and a softening of the corona emission while the inner disk radius remains stable. Assuming a lamppost geometry, the corona height is also found to stay close to the black hole across the state transition. If we include the Comptonization of the reflection spectrum, the scattering fraction parameter is found to decrease during the state transition. We also perform an analysis with a reflection model designed for hot accretion disks of stellar mass black holes where the surface of the innermost accretion disk is illuminated by emission from the corona and the thermal disk below. Our results support the scenario in which the state transition is associated with variations in the corona properties. △ Less

Submitted 6 June, 2023; v1 submitted 17 November, 2022; originally announced November 2022.

Comments: 10 pages, 5 figures, Accepted by ApJ

Journal ref: ApJ 950 5 (2023)

Testing Gravity with Black Hole X-Ray Data

Authors: Cosimo Bambi

Abstract: The analysis of the properties of the X-ray radiation emitted from geometrically thin accretion disks around black holes can be a powerful tool to test General Relativity in the strong field regime. This chapter reviews the state-of-the-art of gravity tests with black hole X-ray data. So far, most efforts have been devoted to test the Kerr hypothesis - namely that the spacetime around astrophysica… ▽ More The analysis of the properties of the X-ray radiation emitted from geometrically thin accretion disks around black holes can be a powerful tool to test General Relativity in the strong field regime. This chapter reviews the state-of-the-art of gravity tests with black hole X-ray data. So far, most efforts have been devoted to test the Kerr hypothesis - namely that the spacetime around astrophysical black holes is described by the Kerr solution - and X-ray data can currently provide among the most stringent constraints on possible deviations from the Kerr geometry. As of now, all X-ray analyses are consistent with the predictions of General Relativity. △ Less

Submitted 11 October, 2022; originally announced October 2022.

Comments: 35 pages, 13 figures. Chapter for the book "Recent Progress on Gravity Tests" (Eds. C. Bambi and A. Cárdenas-Avendaño, Springer Singapore, expected in 2023). It reviews current X-ray constraints on the Kerr hypothesis and discusses the systematic uncertainties

The Low Temperature Corona in ESO 511$-$G030 Revealed by NuSTAR and XMM-Newton

Authors: Zuobin Zhang, Jiachen Jiang, Honghui Liu, Cosimo Bambi, Christopher S. Reynolds, Andrew C. Fabian, Thomas Dauser, Kristin Madsen, Andrew Young, Luigi Gallo, Zhibo Yu, John Tomsick

Abstract: We present the results from a coordinated XMM-Newton $+$ NuSTAR observation of the Seyfert 1 Galaxy ESO 511$-$G030. With this joint monitoring programme, we conduct a detailed variability and spectral analysis. The source remained in a low flux and very stable state throughout the observation period, although there are slight fluctuations of flux over long timescales. The broadband (0.3-78~keV) sp… ▽ More We present the results from a coordinated XMM-Newton $+$ NuSTAR observation of the Seyfert 1 Galaxy ESO 511$-$G030. With this joint monitoring programme, we conduct a detailed variability and spectral analysis. The source remained in a low flux and very stable state throughout the observation period, although there are slight fluctuations of flux over long timescales. The broadband (0.3-78~keV) spectrum shows the presence of a power-law continuum with a soft excess below 2~keV, a relatively narrow iron K$α$ emission ($\sim$6.4~keV), and an obvious cutoff at high energies. We find that the soft excess can be modeled by two different possible scenarios: a warm ($kT_{\rm e} \sim$ 0.19~keV) and optically thick ($τ- 18\sim25$) Comptonizing corona or a relativistic reflection from a high-density ($\log [n_{\rm e}/{\rm cm}^{-3}]=17.1 \sim 18.5$) inner disc. All models require a low temperature ($kT_{\rm e} \sim$ 13~keV) for the hot corona. △ Less

Submitted 18 May, 2023; v1 submitted 2 August, 2022; originally announced August 2022.

Comments: 18 pages, 15 figures. v2: refereed version

Journal ref: Astrophys.J. 949: 4 (2023)

Testing relativistic reflection models with GRMHD simulations of accreting black holes

Authors: Swarnim Shashank, Shafqat Riaz, Askar B. Abdikamalov, Cosimo Bambi

Abstract: X-ray reflection spectroscopy is currently one of the leading techniques for studying the inner part of accretion disks around black holes, measuring black hole spins, and even testing fundamental physics in strong gravitational fields. However, the accuracy of these measurements depends on the reflection models employed for the spectral analysis, which are sometimes questioned. In this work, we u… ▽ More X-ray reflection spectroscopy is currently one of the leading techniques for studying the inner part of accretion disks around black holes, measuring black hole spins, and even testing fundamental physics in strong gravitational fields. However, the accuracy of these measurements depends on the reflection models employed for the spectral analysis, which are sometimes questioned. In this work, we use a general relativistic magnetohydrodynamic (GRMHD) code to generate a thin accretion disk in Kerr spacetime and ray-tracing techniques to calculate its relativistically broadened reflection spectrum. We simulate NuSTAR observations and we test the capability of current reflection models based on Novikov-Thorne disks to recover the correct input parameters. Our study shows that we can measure the correct input parameters in the case of high inclination angle sources, while we find some minor discrepancy when the inclination angle of the disk is low. △ Less

Submitted 13 October, 2022; v1 submitted 23 July, 2022; originally announced July 2022.

Comments: 10 pages, 10 figures. v2: refereed version

Journal ref: Astrophys.J. 938: 53 (2022)

Testing regular black holes with X-ray and GW data

Authors: Shafqat Riaz, Swarnim Shashank, Rittick Roy, Askar B. Abdikamalov, Dimitry Ayzenberg, Cosimo Bambi, Zuobin Zhang, Menglei Zhou

Abstract: The presence of spacetime singularities in physically relevant solutions of the Einstein Equations is normally interpreted as a symptom of the breakdown of classical general relativity at very high densities/curvatures. However, despite significant efforts in the past decades, we do not have yet any robust theoretical framework to solve the problem of spacetime singularities. In this context, the… ▽ More The presence of spacetime singularities in physically relevant solutions of the Einstein Equations is normally interpreted as a symptom of the breakdown of classical general relativity at very high densities/curvatures. However, despite significant efforts in the past decades, we do not have yet any robust theoretical framework to solve the problem of spacetime singularities. In this context, the past few years have seen an increasing interest in the study of phenomenological scenarios to describe singularity-free black holes, gravitational collapses, and cosmological models. In the present work, we consider the recent proposal by Mazza, Franzin & Liberati for a rotating regular black hole and we measure their regularization parameter $l$ from the available X-ray and gravitational wave black hole data. For $l = 0$, we recover the singular Kerr solution of general relativity, while for $l \neq 0$ we can have a regular black hole or a regular wormhole. Our analysis shows that the available data are consistent with a vanishing regularization parameter $l$ and we can constrain its value. From a NuSTAR spectrum of the Galactic black hole in EXO 1846-031, we find $l/M < 0.49$ (90% CL). From the gravitational wave event GW190707A, we find $l/M < 0.72$ (90% CL). △ Less

Submitted 5 November, 2022; v1 submitted 8 June, 2022; originally announced June 2022.

Comments: 31 pages, 10 figures. v3: refereed version. v4: clarified a couple of passages

Journal ref: JCAP 2210:040 (2022)