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In the paper, only Static Spherically Symmetric space-times in four dimensions are considered within modified gravity models. The non-singular static metrics, including black holes not admitting a de Sitter core in the center and…

General Relativity and Quantum Cosmology · Physics 2024-10-07 A. S. Agrawal , Sergio Zerbini , B. Mishra

There is a chance that the spacetime around massive compact objects which are expected to be black holes is not described by the Kerr metric, but by a metric which can be considered as a perturbation of the Kerr metric. These non-Kerr…

General Relativity and Quantum Cosmology · Physics 2014-09-09 Georgios Lukes-Gerakopoulos , George Contopoulos , Theocharis A. Apostolatos

A small deformation controlled by four free parameters to the Schwarzschild metric could be referred to a nonspinning black hole solution in alternative theories of gravity. Because such a non-Schwarzschild metric can be changed into a…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Hongxing Zhang , Naying Zhou , Wenfang Liu , Xin Wu

All black holes (BHs) in nature are expected to be described by the Kerr vacuum solution of general relativity (GR). However, the Kerr BH interior contains several problematic features such as a Cauchy horizon, a curvature singularity, and…

General Relativity and Quantum Cosmology · Physics 2024-10-23 Prashant Kocherlakota , Ramesh Narayan

In General Relativity, the spacetimes of black holes have three fundamental properties: (i) they are the same, to lowest order in spin, as the metrics of stellar objects; (ii) they are independent of mass, when expressed in geometric units;…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Dimitrios Psaltis , Colm Talbot , Ethan Payne , Ilya Mandel

Recently, two of us have argued that non-Kerr black holes in gravity theories different from General Relativity may have a topologically non-trivial event horizon. More precisely, the spatial topology of the horizon of non-rotating and…

General Relativity and Quantum Cosmology · Physics 2012-04-16 Cosimo Bambi , Francesco Caravelli , Leonardo Modesto

We consider the metric of a generic axially symmetric rotating stationary black hole. The general approach is developed that enables us to construct coordinate frame regular near the horizon. As explicit examples, the Kerr and…

General Relativity and Quantum Cosmology · Physics 2018-09-19 O. B. Zaslavskii

No Kerr-like exact solution has yet been found in Chern-Simons modified gravity. Intrigued by this absence, we study stationary and axisymmetric metrics that could represent the exterior field of spinning black holes. For the standard…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Daniel Grumiller , Nicolas Yunes

In this study, we investigate a nonlinear mechanism driving the formation of scalarized rotating black holes within a scalar-Gauss-Bonnet gravity framework that includes an additional squared Gauss-Bonnet term. With the specific coupling…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Shoupan Liu , Yunqi Liu , Yan Peng , Cheng-Yong Zhang

We investigate thick accretion structures around Kerr black holes in a swirling background. This stationary and axisymmetric spacetime is composed of a rotating black hole, which is immersed in a rotating background. The swirling background…

General Relativity and Quantum Cosmology · Physics 2025-06-03 Kristian Gjorgjieski , Rogério Capobianco

The spacetime singularities in classical general relativity are inevitable, which are also predicated by the celebrated singularity theorems. However, it is general belief that singularities do not exist in the nature and they are the…

General Relativity and Quantum Cosmology · Physics 2015-10-20 Sushant G. Ghosh

The recent opening of gravitational wave astronomy has shifted the debate about black hole mimickers from a purely theoretical arena to a phenomenological one. In this respect, missing a definitive quantum gravity theory, the possibility to…

General Relativity and Quantum Cosmology · Physics 2024-09-12 Jacopo Mazza , Edgardo Franzin , Stefano Liberati

According to the no-hair theorem, astrophysical black holes are uniquely characterized by their masses and spins and are described by the Kerr metric. Several parametric spacetimes which deviate from the Kerr metric have been proposed in…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Tim Johannsen

We construct regular rotating black hole and no-horizon spacetimes based on the recently introduced spherically symmetric generic regular black hole spacetimes related to electric or magnetic charge under nonlinear electrodynamics coupled…

General Relativity and Quantum Cosmology · Physics 2017-04-25 Bobir Toshmatov , Zdeněk Stuchlík , Bobomurat Ahmedov

It is believed that curvature singularities are a creation of general relativity and hence, in the absence of a quantum gravity, models of nonsingular black holes have received significant attention. We study the shadow (apparent shape), an…

General Relativity and Quantum Cosmology · Physics 2016-08-03 Muhammed Amir , Sushant G. Ghosh

By applying the dimensionless scheme, we investigate the quasinormal modes and phase transitions analytically for three types of regular black holes. The universal deviations to the first law of mechanics in regular black holes are proved.…

General Relativity and Quantum Cosmology · Physics 2022-05-13 Chen Lan , Yan-Gang Miao , Hao Yang

Local condition that imply the no-hair property of black holes are completed. The conditions take the form of constraints on the geometry of the 2-dimensional crossover surface of black hole horizon. They imply also the axial symmetry…

General Relativity and Quantum Cosmology · Physics 2018-07-04 Jerzy Lewandowski , Adam Szereszewski

In 4-dimensional General Relativity, there are several theorems restricting the topology of the event horizon of a black hole. In the stationary case, black holes must have a spherical horizon, while a toroidal spatial topology is allowed…

General Relativity and Quantum Cosmology · Physics 2012-04-09 Cosimo Bambi , Leonardo Modesto

Rapidly-rotating black-hole spacetimes outside general relativity are key to many tests of Einstein's theory. We here develop an efficient spectral method to represent such spacetimes analytically, in closed-form, and to high accuracy, in a…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Kelvin Ka-Ho Lam , Adrian Ka-Wai Chung , Nicolás Yunes

This paper is concerned with several not-quantum aspects of black holes, with emphasis on theoretical and mathematical issues related to numerical modeling of black hole space-times. Part of the material has a review character, but some new…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Piotr T. Chrusciel