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We find an exact spherically symmetric magnetically charged black hole solution to general relativity (GR) coupled to nonlinear electrodynamics (NED) with an appropriate Lagrangian density. In turn, starting with this spherical black hole…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Sushant G. Ghosh , Rahul Kumar walia

We present a novel approach, $\textit{Metric pErTuRbations wIth speCtral methodS}$ (METRICS), to calculate the gravitational metric perturbations and the quasinormal-mode frequencies of rotating black holes of any spin without decoupling…

General Relativity and Quantum Cosmology · Physics 2024-03-05 Adrian Ka-Wai Chung , Pratik Wagle , Nicolas Yunes

We present the metric for a rotating black hole with a cosmological constant and with arbitrary angular momenta in all higher dimensions. The metric is given in both Kerr-Schild and Boyer-Lindquist form. In the Euclidean-signature case, we…

High Energy Physics - Theory · Physics 2010-04-06 G. W. Gibbons , H. Lu , D. N. Page , C. N. Pope

We develop a method for constructing a 1-parameter family of globally-defined Love symmetry generators in rotating black hole spacetimes of general dimension. The key ingredient is to focus on the vicinity of the (physical) outer horizon,…

General Relativity and Quantum Cosmology · Physics 2026-01-28 Finnian Gray , Cynthia Keeler , David Kubiznak , Victoria Martin

In this note, the off-shell generalized Abbott-Deser-Tekin (ADT) formalism is applied to explore the mass of Kerr-anti-de Sitter (Kerr-AdS) black holes in various dimensions within asymptotically rotating frames. The cases in four and five…

General Relativity and Quantum Cosmology · Physics 2023-05-23 Yi-De Jing , Jun-Jin Peng

We present closed-form solutions for plunging geodesics in the extended Kerr spacetime using Boyer-Lindquist coordinates. Our solutions directly solve for the dynamics of generic timelike plunges, we also specialise to the case of test…

General Relativity and Quantum Cosmology · Physics 2024-10-31 Conor Dyson , Maarten van de Meent

We analyse properties of general stationary and axisymmetric spacetimes, with a particular focus on circularity -- an accidental symmetry enjoyed by the Kerr metric, and therefore widely assumed when searching for rotating black hole…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Eugeny Babichev , Jacopo Mazza

This work makes the first ever attempt to understand the influence of the black hole background space-time in determining the fundamental properties of the embedded relativistic acoustic geometry. To accomplish such task, the role of the…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Hung-Yi Pu , Ishita Maiti , Tapas Kumar Das , Hsiang-Kuang Chang

We discuss the fundamentals of classical black hole (BH) thermodynamics in a new framework determined by light surfaces and their frequencies. This new approach allows us to study BH transitions inside the Kerr geometry. In the case of BHs,…

General Relativity and Quantum Cosmology · Physics 2022-06-01 D. Pugliese , H. Quevedo

We present an exhaustive numerical investigation of the optical caustics in gravitational lensing by a spinning black hole for an observer at infinity. Besides the primary caustic, we examine higher order caustics, formed by photons…

General Relativity and Quantum Cosmology · Physics 2008-11-26 V. Bozza

In this paper, we investigate the topological numbers for singly rotating Kerr black holes in arbitrary dimensions and four-dimensional Kerr-Newman black hole. We show that for uncharged black holes, the rotation parameter has a significant…

General Relativity and Quantum Cosmology · Physics 2023-01-20 Di Wu

A large variety of spacetimes---including the BTZ black holes---can be obtained by identifying points in 2+1 dimensional anti-de Sitter space by means of a discrete group of isometries. We consider all such spacetimes that can be obtained…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Stefan Aminneborg , Ingemar Bengtsson , Dieter Brill , Soren Holst , Peter Peldan

We explicitly construct the metric of a Kerr black hole that is tidally perturbed by the external universe in the slow-motion approximation. This approximation assumes that the external universe changes slowly relative to the rotation rate…

General Relativity and Quantum Cosmology · Physics 2014-04-14 Nicolas Yunes , Jose Gonzalez

The strategy of obtaining the familiar Kerr-Newman solution in general relativity is based on either using the metric ansatz in the Kerr-Schild form, or applying the method of complex coordinate transformation to a non-rotating charged…

High Energy Physics - Theory · Physics 2008-11-26 A. N. Aliev

We consider the metric of an axially symmetric rotating black hole. We do not specify the concrete form of a metric and rely on its behavior near the horizon only. Typically, it is characterized (in the coordinates that generalize the…

General Relativity and Quantum Cosmology · Physics 2023-09-01 H. V. Ovcharenko , O. B. Zaslavskii

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

The Newman-Janis algorithm and its generalizations can be used mathematically to generate rotating solutions from nonrotating spherically-symmetric solutions within general relativity. The energy-momentum tensors of these solutions may or…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Philip Beltracchi , Paolo Gondolo

We introduce and study properties of certain new harmonic function spaces on products of upper half-spaces.Norm estimates for the so-called expanded Bergman projections are obtained.Sharp theorems on multipliers acting on certain Sobolev…

Functional Analysis · Mathematics 2012-01-18 Milos Arsenovic , Romi F. Shamoyan

The geometry of the spinning black holes of standard Einstein theory in 2+1 dimensions, with a negative cosmological constant and without couplings to matter, is analyzed in detail. It is shown that the black hole arises from…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Maximo Banados , Marc Henneaux , Claudio Teitelboim , Jorge Zanelli

Nonrotating and rotating black hole soltuions in (2+1) dimensions are studied in a model including a real scalar field with a simple potential coupled to gravity.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yoshitaka Degura , Kenji Sakamoto , Kiyoshi Shiraishi