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We consider charged rotating BTZ black holes in noncommutative space by use of Chern-Simons theory formulation of $2+1$ dimensional gravity. The noncommutativity between the radial and the angular variables is introduced through the…

High Energy Physics - Theory · Physics 2018-04-18 Shoichi Kawamoto , Koichi Nagasaki , Wen-Yu Wen

We consider general radially moving frames realized in the background of nonextremal black holes having causal structure similar to that of the Schwarzschild metric. In doing so, we generalize the Lema\^{\i}tre approach, constructing…

General Relativity and Quantum Cosmology · Physics 2023-03-29 A. Toporensky , O. Zaslavskii

We study the space of stability conditions on $K3$ surfaces from the perspective of mirror symmetry. It is done in the so called attractor backgrounds (moduli) which can be far from the conventional large complex limits and are selected by…

Algebraic Geometry · Mathematics 2012-10-30 Wenxuan Lu

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

We present, in closed analytic form, a general stationary, slowly rotating black hole, which is solution to a large class of alternative theories of gravity in four dimensions. In these theories, the Einstein-Hilbert action is supplemented…

General Relativity and Quantum Cosmology · Physics 2011-10-27 Paolo Pani , Caio F. B. Macedo , Luis C. B. Crispino , Vitor Cardoso

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

The Hessian of the entropy function can be thought of as a metric tensor on the state space. In the context of thermodynamical fluctuation theory Ruppeiner has argued that the Riemannian geometry of this metric gives insight into the…

General Relativity and Quantum Cosmology · Physics 2009-01-14 Jan Aman , Ingemar Bengtsson , Narit Pidokrajt

We construct stationary, rotating black binaries in general relativity with a positive cosmological constant. We consider identical black holes with either aligned or anti-aligned spins. Both cases have less entropy than the corresponding…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Oscar J. C. Dias , Jorge E. Santos , Benson Way

We analytically derive a class of non-singular, static and spherically symmetric topological black hole metrics inF(R)-gravity. These have not a de Sitter core at their centre, as most model in standard General Relativity. We study the…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Manuel Bertipagani , Massimiliano Rinaldi , Lorenzo Sebastiani , Sergio Zerbini

We present a simple analytical model for studying the collapse of an ultracompact stellar object (regular black hole mimicker with infinite redshift surface) to form a (integrable) black hole, in the framework of General Relativity. Both…

General Relativity and Quantum Cosmology · Physics 2024-01-09 Roberto Casadio , Alexander Kamenshchik , Jorge Ovalle

Through gravitational decoupling using the extended minimal geometric deformation, a new family of static and rotating ``hairy'' black holes is provided. The background of these models is a generic Schwarzschild metric containing as special…

General Relativity and Quantum Cosmology · Physics 2025-01-10 Pablo Leon , B. Mishra , Y. Gomez-Leyton , Francisco Tello-Ortiz

This note is based on a talk given by one of the authors (S. D.) at the "Rencontres Math\'ematiques de Glanon", held in Glanon in July 2004. We will first introduce the BTZ black hole, solution of Einstein's gravity in 2+1 dimensions, and…

High Energy Physics - Theory · Physics 2007-05-23 P. Bieliavsky , S. Detournay , M. Rooman , Ph. Spindel

We study 4-dimensional Schwarzschild de Sitter black holes in the regime where the black hole mass is small compared with the de Sitter scale. Then the de Sitter temperature is very low compared with that of the black hole and we study the…

High Energy Physics - Theory · Physics 2022-10-26 Kaberi Goswami , K. Narayan

Black hole bombs are usually constructed by surrounding an ergoregion by a mirror. The fields propagating between the event horizon and the mirror are prevented from escaping to infinity and reflected back to the ergoregion, thus undergoing…

General Relativity and Quantum Cosmology · Physics 2020-02-12 Laurent Di Menza , Jean-philippe Nicolas , Mathieu Pellen

Minimal surfaces in Euclidean space provide examples of possible non-compact horizon geometries and topologies in asymptotically flat space-time. On the other hand, the existence of limiting surfaces in the space-time provides a simple…

High Energy Physics - Theory · Physics 2015-08-07 Jay Armas , Matthias Blau

We show that it is possible to embed the 1+1 dimensional reduction of certain spherically symmetric black hole spacetimes into 2+1 Minkowski space. The spacetimes of interest (Schwarzschild de-Sitter, Schwarzschild anti de-Sitter, and…

General Relativity and Quantum Cosmology · Physics 2009-11-10 John T. Giblin , Donald Marolf , Robert H. Garvey

We study the thermodynamics and the different thermodynamic geometric methods of Reissener-Nordstr\"{o}m-de Sitter black hole and its extremal case, which is similar to the de Sitter black hole coupled to a scalar field, rather called an…

General Relativity and Quantum Cosmology · Physics 2014-05-01 R. Tharanath , Jishnu Suresh , Nijo Varghese , V. C. Kuriakose

An exact correspondence between a black hole and an accelerating mirror is demonstrated. It is shown that for a massless minimally coupled scalar field the same Bogolubov coefficients connecting the "in" and "out" states occur for a (1+1)D…

General Relativity and Quantum Cosmology · Physics 2016-09-26 Michael R. R. Good , Paul R. Anderson , Charles R. Evans

There has been some recent controversy regarding the Ruppeiner metrics that are induced by Reissner-Nordstrom (and Reissner-Nordstrom-like) black holes. Most infamously, why does this family of metrics turn out to be flat, how is this…

General Relativity and Quantum Cosmology · Physics 2008-12-18 A. J. M. Medved

Radiation from accelerating mirrors in a Minkowski spacetime provides insights into the nature of horizons, black holes, and entanglement entropy. We introduce new, simple, symmetric and analytic moving mirror solutions and study their…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Michael R. R. Good , Eric V. Linder