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It is thought that the spacetime metric around astrophysical black holes is well described by the Kerr solution of Einstein's gravity. However, a robust observational evidence of the Kerr nature of these objects is still lacking. Here we…

General Relativity and Quantum Cosmology · Physics 2018-10-02 Yerong Xu , Sourabh Nampalliwar , Askar B. Abdikamalov , Dimitry Ayzenberg , Cosimo Bambi , Thomas Dauser , Javier A. Garcia , Jiachen Jiang

We present analytic stationary and axially-symmetric black hole solutions to the semiclassical Einstein equations that are sourced by the trace anomaly. We also find that the same spacetime geometry satisfies the field equations of a subset…

General Relativity and Quantum Cosmology · Physics 2024-02-14 Pedro G. S. Fernandes

A new class of exact spacetimes in Einstein's gravity, which are Kerr black holes immersed in an external magnetic (or electric) field that is asymptotically uniform and oriented along the rotational axis, is presented. These are…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Jiri Podolsky , Hryhorii Ovcharenko

Thanks to the recent advent of the event horizon telescope (EHT), we now have the opportunity to test the physical ramifications of the strong-field near-horizon regime for astrophysical black holes. Herein, emphasizing the trade-off…

General Relativity and Quantum Cosmology · Physics 2023-05-16 Joshua Baines , Matt Visser

The Kerr black hole is stationary and axisymmetric, which leads to conservation of energy and azimuthal angular momentum along the orbits of free test particles in its vicinity, but also to conservation laws for the evolution of continuum…

General Relativity and Quantum Cosmology · Physics 2017-11-27 Vojtěch Witzany

We consider charged rotating black holes localized on a three-brane in the DGP model. Assuming a $Z_2$-symmetry across the brane and with a stationary and axisymmetric metric ansatz on the brane, a particular solution is obtained in the…

High Energy Physics - Theory · Physics 2009-09-25 Daeho Lee , Ee Chang-Young , Myungseok Yoon

X-ray reflection spectroscopy is a powerful technique for probing the nature of gravity around black holes in the so-called strong field regime. One of the most popular of such probes is to look at theory-agnostic deviations away from the…

High Energy Astrophysical Phenomena · Physics 2021-07-27 Askar B. Abdikamalov , Dimitry Ayzenberg , Cosimo Bambi , Sourabh Nampalliwar , Ashutosh Tripathi

Usually alternative theories of gravity imply deviations from the well-known Kerr space-time, a model of an isolated black hole in General Relativity. In the dominant order, the deformed Kerr metric, free of closed time-like curves outside…

General Relativity and Quantum Cosmology · Physics 2013-02-06 R. A. Konoplya , A. Zhidenko

We address the astrophysical imaging of a family of deformed Kerr black holes (BHs). These are stationary, asymptotically flat black hole (BH) spacetimes, that are solutions of General Relativity minimally coupled to a massive, complex…

General Relativity and Quantum Cosmology · Physics 2016-11-02 F. H. Vincent , E. Gourgoulhon , C. Herdeiro , E. Radu

Astrophysical black hole candidates are thought to be the Kerr black holes predicted by General Relativity, but there is not yet clear evidence that the geometry of the space-time around these objects is really described by the Kerr metric.…

General Relativity and Quantum Cosmology · Physics 2013-01-28 Cosimo Bambi

We construct series of solutions for the Kerr-type rotating black hole with non-trivial matter in flat and (A)dS backgrounds. Symmetry arguments and singularity analysis in the proposed black hole models fix the free parameters of the…

High Energy Physics - Theory · Physics 2024-11-13 A. J. Nurmagambetov

There is strong observational evidence that almost every large galaxy has a supermassive black hole at its center. It is of fundamental importance to know whether such black holes are described by the standard Kerr solution in General…

General Relativity and Quantum Cosmology · Physics 2024-06-14 Eugeny Babichev , Christos Charmousis , Daniela D. Doneva , Galin N. Gyulchev , Stoytcho S. Yazadjiev

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

This chapter provides a brief introduction to the Kerr spacetime and rotating black holes, touching on the most common coordinate representations of the spacetime metric and the key features of the geometry -- the presence of horizons and…

General Relativity and Quantum Cosmology · Physics 2008-01-15 Matt Visser

A solution of Einstein's vacuum field equations that describes a boosted Kerr black hole relative to an asymptotic Lorentz frame at the future null infinity is derived. The solution has three parameters (mass, rotation and boost) and…

General Relativity and Quantum Cosmology · Physics 2017-05-26 Ivano Damião Soares

In this work, we explore black hole and regular black hole solutions in the recently proposed Conformal Killing Gravity (CKG). This theory is of third order in the derivatives of the metric tensor and essentially satisfies three theoretical…

General Relativity and Quantum Cosmology · Physics 2024-02-07 José Tarciso S. S. Junior , Francisco S. N. Lobo , Manuel E. Rodrigues

As a first step towards the calculation of waveform of Extreme Mass Ratio Inspirals for Modified Gravity theories, we calculate the orbital frequencies of a Small Compact Object inspiralling into a super massive blackhole for a Nonlocal…

General Relativity and Quantum Cosmology · Physics 2020-08-11 Avani Patel

The uniqueness and rigidity of black holes remain central themes in gravitational research. In this work, we investigate the construction of all extremal black hole solutions to the Einstein equation for a given near-horizon geometry,…

High Energy Physics - Theory · Physics 2026-02-06 Jan Gutowski , Chettha Saelim , Martin Wolf

Recently it has been speculated that a set of diffeomorphisms exist which act non-trivially on the horizon of some black holes such as Kerr and Kerr-Newman black hole. %\cite{Haco:2018ske,Haco:2019ggi}. Using this symmetry in covariant…

High Energy Physics - Theory · Physics 2023-01-09 M. R. Setare , A. Jalali

A combined model of the Kerr spinning particle and superparticle is considered. The structure of the Kerr geometry is presented in a complex form as being created by a complex source. A natural supergeneralization of this construction is…

High Energy Physics - Theory · Physics 2009-10-30 Alexander Burinskii