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Applying the large $D$ approach to the Einstein-Gauss-Bonnet theory, we construct equally rotating black hole solutions in odd dimensions. This provides the first example of the analytic solutions which describes not-slowly rotating black…

High Energy Physics - Theory · Physics 2022-07-27 Ryotaku Suzuki , Shinya Tomizawa

Effective field theory methods suggest that some rather-general extensions of General Relativity include, or are mimicked by, certain higher-order curvature corrections, with coupling constants expected to be small but otherwise arbitrary.…

General Relativity and Quantum Cosmology · Physics 2023-08-29 Vitor Cardoso , Masashi Kimura , Andrea Maselli , Leonardo Senatore

The majority of extensions to General Relativity display mathematical pathologies (higher derivatives, character change in equations that can be classified within PDE theory, and even unclassifiable ones) that cause severe difficulties to…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Ramiro Cayuso , Pau Figueras , Tiago França , Luis Lehner

This review gives an introduction to various attempts to understand the quantum nature of black holes. The first part focuses on thermodynamics of black holes, Hawking radiation, and the interpretation of entropy. The second part is devoted…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Claus Kiefer

Supersymmetric solutions of supergravity have been of particular importance in the advances of string theory. This article reviews the current status of black hole solutions in higher-dimensional supergravity theories. We discuss primarily…

High Energy Physics - Theory · Physics 2015-05-27 Kei-ichi Maeda , Masato Nozawa

From a purely geometric (kinematic) perspective, black holes in four dimensional spacetimes can have event horizons with arbitrary topologies. It is only when energy conditions are imposed that the horizon's topology is constrained to be…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Carlos Barceló , Gerardo García-Moreno , Alejandro Jiménez Cano

Static spherically symmetric black holes are discussed in the framework of higher dimensional gravity with quadratic in curvature terms. Such terms naturally arise as a result of quantum corrections induced by quantum fields propagating in…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Valeri P. Frolov , Ilya L. Shapiro

We directly connect topological changes that can occur in mathematical three-space via surgery, with black hole formation, the formation of wormholes and new generalizations of these phenomena. This work widens the bridge between topology…

Geometric Topology · Mathematics 2018-09-27 Stathis Antoniou , Louis H. Kauffman , Sofia Lambropoulou

In 4-dimensional General Relativity, black holes are described by the Kerr solution and are completely specified by their mass $M$ and by their spin angular momentum $J$. A fundamental limit for a black hole in General Relativity is the…

General Relativity and Quantum Cosmology · Physics 2011-04-13 Cosimo Bambi

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

The Einstein-Hilbert action with a cosmological term is used to derive a new action in 1+1 spacetime dimensions. It is shown that the two-dimensional theory is equivalent to planar symmetry in General Relativity. The two-dimensional theory…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Jose' P. S. Lemos

Dimensionally reduced spherically symmetric gravity and its generalization, generic 2-D dilaton gravity, provide ideal theoretical laboratories for the study of black hole quantum mechanics and thermodynamics. They are sufficiently simple…

General Relativity and Quantum Cosmology · Physics 2016-12-21 J. Gegenberg , G. Kunstatter

Highly accurate numerical solutions to the problem of Black Holes surrounded by uniformly rotating rings in axially symmetric, stationary spacetimes are presented. The numerical methods developed to handle the problem are discussed in some…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Marcus Ansorg , David Petroff

We explore the possibility that spacetime horizons in 4D general relativity can be treated as manifestations of higher dimensions that induce fields on our 4D spacetime. In this paper we discuss the black hole event horizon, as an example…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Manasse R. Mbonye

Classical black holes and event horizons are highly non-local objects, defined in relation to the causal past of future null infinity. Alternative, quasilocal characterizations of black holes are often used in mathematical, quantum, and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ivan Booth

This is an introduction into the problem of how to set up black hole initial-data for the matter-free field equations of General Relativity. The approach is semi-pedagogical and addresses a more general audience of astrophysicists and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Domenico Giulini

We study the contribution to entropy of Black Holes in D=2+1 dimensions from an extension of the Chern Simons theory including higher derivative in a curved space-time.

High Energy Physics - Theory · Physics 2007-05-23 Carlos Pinheiro , F. C. Khanna

This resource letter is designed to guide students, educators, and researchers through (some of) the literature on black holes. Both the physics and astrophysics of black holes are discussed. Breadth has been emphasized over depth, and…

Astrophysics · Physics 2009-07-06 Elena Gallo , Don Marolf

What is going on (as of August 2008) at the interface between theoretical general relativity, string-inspired models, and observational astrophysics? Quite a lot. In this mini-survey I will make a personal choice and focus on four specific…

General Relativity and Quantum Cosmology · Physics 2010-02-16 Matt Visser

Up to now, Einstein's general theory of relativity has passed all experimental tests. But yet we know that it is not a fundamental theory and that it is incompatible with quantum theory. While several extended and improved gravitational…

General Relativity and Quantum Cosmology · Physics 2017-11-28 Michael Florian Wondrak , Marcus Bleicher , Piero Nicolini