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The Event Horizon Telescope (EHT) is taking the first images of black holes resolved at horizon scales to measure their shadows and probe accretion physics. A promising avenue for testing the hypothesis that astrophysical black holes are…

High Energy Astrophysical Phenomena · Physics 2020-06-17 Lia Medeiros , Dimitrios Psaltis , Feryal Özel

Under the assumption that astrophysical black hole candidates are the Kerr black holes of general relativity, the continuum-fitting method and the analysis of the K$\alpha$ iron line are today the only available techniques capable of…

General Relativity and Quantum Cosmology · Physics 2013-09-02 Cosimo Bambi

The uniqueness and rigidity theorems assert that the asymptotically flat, vacuum, stationary rotating black hole solution in general relativity must be the Kerr solution, exhibiting novel symmetries such as axisymmetry and circularity. In…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Rajes Ghosh , Akash K Mishra , Sudipta Sarkar

We present a method for determining the physical parameters of a Kerr-Newman black hole through shadow observation. In a system comprising a Kerr-Newman black hole, an observer, and a light source, the relevant parameters are mass $M$,…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Kenta Hioki , Umpei Miyamoto

As a consequence of Birkhoff's theorem, the exterior gravitational field of a spherically symmetric star or black hole is always given by the Schwarzschild metric. In contrast, the exterior gravitational field of a rotating (axisymmetric)…

General Relativity and Quantum Cosmology · Physics 2022-09-22 R. Meinel

In general relativity without a cosmological constant, a classical theorem due to Hawking states that stationary black holes must be topologically spherical. This result is one of the several ingredients that collectively imply the…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Sourabh Nampalliwar , Arthur G. Suvorov , Kostas D. Kokkotas

Considerable attention has recently focused on gravity theories obtained by extending general relativity with additional scalar, vector, or tensor degrees of freedom. In this paper, we show that the black-hole solutions of these theories…

Astrophysics · Physics 2008-11-26 Dimitrios Psaltis , Delphine Perrodin , Keith R. Dienes , Irina Mocioiu

The motion of photons around black holes determines the shape of shadow and match the ringdown properties of a perturbed black hole. Observations of shadows and ringdown waveforms will reveal the nature of black holes. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2021-07-29 Song Li , Ahmadjon A. Abdujabbarov , Wen-Biao Han

In this paper, we review our current efforts to test General Relativity in the strong field regime by studying the reflection spectrum of supermassive black holes. So far we have analyzed 11 sources with observations of NuSTAR, Suzaku,…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Askar B. Abdikamalov , Dimitry Ayzenberg , Cosimo Bambi , Sourabh Nampalliwar , Ashutosh Tripathi , Jelen Wong , Yerong Xu , Jinli Yan , Yunfeng Yan , Yuchan Yang

It is well known that the three parameters that characterize the Kerr black hole (mass, angular momentum and horizon area) satisfy several important inequalities. Remarkably, some of these inequalities remain valid also for dynamical black…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Sergio Dain

We present a novel approach for the construction of interior solutions for the Kerr metric, extending J. Ovalle's foundational work through ellipsoidal coordinate transformations. By deriving a physically plausible interior solution that…

General Relativity and Quantum Cosmology · Physics 2025-01-30 Yu-Ching Chou

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

Using the general parametrization of spherically symmetric and asymptotically flat black holes in arbitrary metric theories of gravity and implying that: a) the post-Newtonian constraints are taken into account and b) basic astrophysically…

General Relativity and Quantum Cosmology · Physics 2023-08-10 R. A. Konoplya , A. Zhidenko

The study of black hole shadows provides a powerful tool for testing the predictions of general relativity and exploring deviations from the standard Kerr metric in the strong gravitational field regime. Here, we investigate the shadow…

General Relativity and Quantum Cosmology · Physics 2025-11-13 Temurbek Mirzaev , Bobomurat Ahmedov , Cosimo Bambi

The Kerr-Newman metric is the unique vacuum solution of the General Relativistic field equations, in which any singularities or spacetime pathologies are hidden behind horizons. They are believed to describe the spacetimes of massive…

General Relativity and Quantum Cosmology · Physics 2023-04-21 Dimitrios Psaltis

As a mysterious celestial body predicted by General Relativity, black holes have been confirmed by observations in recent years. But there are still many unknown properties waiting for us to discover, one of the famous problems is the…

General Relativity and Quantum Cosmology · Physics 2022-02-21 Ruifeng Zheng , Taotao Qiu

Einstein's theory of General Relativity predicts that the spacetime metric around astrophysical black holes is described by the Kerr solution. In this work, we employ state-of-the-art in relativistic reflection modeling to analyze a…

High Energy Astrophysical Phenomena · Physics 2021-05-31 Ashutosh Tripathi , Yuexin Zhang , Askar B. Abdikamalov , Dimitry Ayzenberg , Cosimo Bambi , Jiachen Jiang , Honghui Liu , Menglei Zhou

We derive closed formulas for the mass and spin parameters of a Kerr black hole in terms of a minimal quantity of observational data: the red-/blue-shifts of photons emitted by massive particles (stars) moving on geodesics around the black…

General Relativity and Quantum Cosmology · Physics 2021-02-17 Alfredo Herrera-Aguilar , Raúl Lizardo-Castro , Ulises Nucamendi

The no-hair theorem can be tested in the strong gravity regime by using the top-bottom approach and the bottom-top approach. The non-Kerr spacetime of the later approach is an ideal framework to do the tests in the region very close to the…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Usman A. Gillani , Rehana Rahim , Khalid Saifullah

We wish to carry forward to higher dimensions the insightful and novel method of obtaining the Kerr metric proposed by one of us [Gen. Relativ. Gravit. 45, 2383 (2013)] for deriving the Myers-Perry rotating black hole metric. We begin with…

General Relativity and Quantum Cosmology · Physics 2022-06-30 Amin Aghababaie Dastgerdi , Behrouz Mirza , Naresh Dadhich