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Over the last decades X-ray spectroscopy has proven to be a powerful tool for the estimation of black hole spin and several other key parameters in dozens of AGN and black hole X-ray binaries. In this White Paper, we discuss the…

I review the current status of X-ray reflection (a.k.a. broad iron line) based black hole spin measurements. This is a powerful technique that allows us to measure robust black hole spins across the mass range, from the stellar-mass black…

High Energy Astrophysical Phenomena · Physics 2015-06-15 Christopher S. Reynolds

We propose a new test of strong-field general relativity (GR) based on the universal interferometric signature of the black hole photon ring. The photon ring is a narrow ring-shaped feature, predicted by GR but not yet observed, that…

General Relativity and Quantum Cosmology · Physics 2020-12-09 Samuel E. Gralla , Alexandru Lupsasca , Daniel P. Marrone

Astrophysical tests of general relativity belong to two categories: 1) "internal", i.e. consistency tests within the theory (for example, tests that astrophysical black holes are indeed described by the Kerr solution and its perturbations),…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Emanuele Berti

The exterior geometry of a neutron star can be approximated by relativistic multipole moments of a parametrized metric using Ernst potential formalism. This spacetime can be tested with electromagnetic wave observation of astrophysical…

General Relativity and Quantum Cosmology · Physics 2018-02-06 M. Ghasemi-Nodehi

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…

High Energy Astrophysical Phenomena · Physics 2025-10-15 Cosimo Bambi

The inspirals of ``small'' ($1 - 100 M_\odot$) compact bodies through highly relativistic orbits of massive (several $\times 10^5 M_\odot -$ several $\times 10^6 M_\odot$) black holes are among the most anticipated sources for the LISA…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Scott A. Hughes

We estimate the potential of present and future interferometric gravitational-wave detectors to test the Kerr nature of black holes through "gravitational spectroscopy," i.e. the measurement of multiple quasinormal mode frequencies from the…

General Relativity and Quantum Cosmology · Physics 2016-09-07 Emanuele Berti , Alberto Sesana , Enrico Barausse , Vitor Cardoso , Krzysztof Belczynski

We analyze simultaneous observations with NuSTAR and Swift of the black hole binary GX 339-4 in which we clearly detect both a strong thermal component and prominent relativistic reflection features. We employ NKBB and RELXILL_NK, which are…

High Energy Astrophysical Phenomena · Physics 2021-01-26 Ashutosh Tripathi , Askar B. Abdikamalov , Dimitry Ayzenberg , Cosimo Bambi , Victoria Grinberg , Menglei Zhou

Most of the X-ray emission from luminous accreting black holes emerges from within 20 gravitational radii. The effective emission radius is several times smaller if the black hole is rapidly spinning. General Relativistic effects can then…

High Energy Astrophysical Phenomena · Physics 2015-06-12 A. C. Fabian

The recently released images of the supermassive black holes in the M87 galaxy and the galaxy of our own make probing black hole spacetimes and testing general relativity (GR) possible. The violation of equatorial reflection symmetry of…

General Relativity and Quantum Cosmology · Physics 2022-08-04 Che-Yu Chen

Electromagnetic observations have been used over the past decades to understand the nature of black holes and the material around them. Our ability to learn about the fundamental physics relies on our understanding of two key ingredients in…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Alejandro Cardenas-Avendano , Jaxen Godfrey , Nicolas Yunes , Anne Lohfink

The unprecedented image of the M87* supermassive black hole has sparked some controversy over its usefulness as a test of the general relativistic Kerr metric. The criticism is mainly related to the black hole's quasi-circular shadow and…

General Relativity and Quantum Cosmology · Physics 2021-10-22 Kostas Glampedakis , George Pappas

Astrophysical black hole candidates are thought to be the Kerr black holes of general relativity, but there is not yet direct observational evidence that the spacetime geometry around these objects is described by the Kerr solution. The…

General Relativity and Quantum Cosmology · Physics 2017-04-10 Cosimo Bambi

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…

High Energy Astrophysical Phenomena · Physics 2024-12-31 Honghui Liu , Askar B. Abdikamalov , Temurbek Mirzaev , Cosimo Bambi , Thomas Dauser , Javier A. Garcia , Zuobin Zhang

Einstein's theory of 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 observations of binary pulsars. Thanks to a…

General Relativity and Quantum Cosmology · Physics 2022-06-06 Cosimo Bambi

SgrA$^*$, the supermassive black hole candidate at the Galactic Center, exhibits flares in the X-ray, NIR, and sub-mm bands that may be interpreted within a hot spot model. Light curves and images of hot spots orbiting a black hole are…

General Relativity and Quantum Cosmology · Physics 2015-01-15 Dan Liu , Zilong Li , Cosimo Bambi

General relativity has passed all solar system experiments and neutron star based tests, such as binary pulsar observations, with flying colors. A more exotic arena for testing general relativity is in systems that contain one or more black…

General Relativity and Quantum Cosmology · Physics 2016-02-19 Kent Yagi , Leo C. Stein

Fast variability studies of accreting black holes in the Galaxy offer us a unique opportunity to measure the spins of black holes and test the strong-field behavior of general relativity. In this review, I summarize the arguments often used…

Astrophysics · Physics 2009-11-10 Dimitrios Psaltis

We present the public release version of relxill_nk, an X-ray reflection model for testing the Kerr hypothesis and general relativity. This model extends the relxill model that assumes the black hole spacetime is described by the Kerr…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Askar B. Abdikamalov , Dimitry Ayzenberg , Cosimo Bambi , Thomas Dauser , Javier A. Garcia , Sourabh Nampalliwar