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We prove a uniqueness theorem for the charged Nariai black holes and ultracold black holes in four dimensions. In particular, we show that an analytic solution to four-dimensional Einstein-Maxwell theory with a positive cosmological…

General Relativity and Quantum Cosmology · Physics 2024-09-30 David Katona

In the present paper we investigate the general problem of uniqueness of the stationary black solutions in 5D Einstein-Maxwell-dilaton gravity with arbitrary dilaton coupling parameter containing the Einstein-Maxwell gravity as a particular…

High Energy Physics - Theory · Physics 2015-05-27 Stoytcho S. Yazadjiev

After a brief summary of the basic properties of stationary spacetimes representing rotating, charged black holes in strong axisymmetric magnetic fields, we concentrate on extremal cases, for which the horizon surface gravity vanishes. We…

General Relativity and Quantum Cosmology · Physics 2015-11-06 Jiří Bičák , Filip Hejda

We construct solutions of higher-dimensional Einstein gravity coupled to nonlinear $\sigma$-model with cosmological constant. The $\sigma$-model can be perceived as exterior configuration of a spontaneously-broken $SO(D-1)$ global…

General Relativity and Quantum Cosmology · Physics 2017-08-30 Ilham Prasetyo , Handhika S. Ramadhan

A large class of extremal and near-extremal four dimensional black holes in M-theory feature near horizon geometries that contain three dimensional asymptotically anti-de Sitter spaces. Globally, these geometries are derived from AdS_3 by…

High Energy Physics - Theory · Physics 2009-10-31 V. Balasubramanian , F. Larsen

We show a uniqueness theorem for charged rotating black holes in the bosonic sector of five-dimensional minimal supergravity. More precisely, under the assumptions of the existence of two commuting axial isometries and spherical topology of…

High Energy Physics - Theory · Physics 2010-12-24 Shinya Tomizawa

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

All known stationary black hole solutions in higher dimensions possess additional rotational symmetries in addition to the stationary Killing field. Also, for all known stationary solutions, the event horizon is a Killing horizon, and the…

General Relativity and Quantum Cosmology · Physics 2009-08-18 Stefan Hollands , Akihiro Ishibashi

We extend the isolated horizon formalism to include rotating black holes arising in five dimensional Einstein-Gauss-Bonnet (EGB) theory of gravity, and derive the laws of black hole mechanics. This result allows us to show that the first…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Ayan Chatterjee , Sahil Devdutt , Avirup Ghosh

We determine all infinitesimal transverse deformations of extreme horizons in Einstein-Maxwell theory that preserve axisymmetry. In particular, we show that the general static transverse deformation of the AdS(2) X S(2) near-horizon…

General Relativity and Quantum Cosmology · Physics 2020-05-19 Carmen Li , James Lucietti

We consider rotating black hole configurations of self-gravitating maps from spacetime into arbitrary Riemannian manifolds. We first establish the integrability conditions for the Killing fields generating the stationary and the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 M. Heusler

We introduce a large class of modifications of the standard lagrangian for two dimensional dilaton gravity, whose general solutions are nonsingular black holes. A subclass of these lagrangians have extremal solutions which are nonsingular…

High Energy Physics - Theory · Physics 2014-11-18 T. Banks , M. O'Loughlin

An isolated horizon (IH) is a null hypersurface at which the geometry is held fixed. This generalizes the notion of an event horizon so that the black hole is an object that is in local equilibrium with its (possibly) dynamic environment.…

General Relativity and Quantum Cosmology · Physics 2008-12-22 Tomas Liko

We study the general black hole solutions of dimensionally reduced five-dimensional Einstein-Gauss-Bonnet gravity. The reduced theory contains gravity, electromagnetism and a scalar field, with nonlinear corrections to the action and…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Z. Belkhadria , S. Mignemi , F. Paderi

We present a new infinite class of near-horizon geometries of degenerate horizons, satisfying Einstein's equations for all odd dimensions greater than five. The symmetry and topology of these solutions is compatible with those of black…

High Energy Physics - Theory · Physics 2014-11-20 Hari K. Kunduri , James Lucietti

We consider stationary axisymmetric solutions of general relativity that asymptote to five dimensional Minkowski space. It is known that this system has a hidden SL(3,R) symmetry. We identify an SO(2,1) subgroup of this symmetry group that…

High Energy Physics - Theory · Physics 2008-11-26 Stefano Giusto , Ashish Saxena

We classify the necessary and sufficient conditions to obtain the near-horizon geometry of extremal supersymmetric rotating black holes embedded in 11d supergravity. Such rotating black holes admit an AdS$_2$ near-horizon geometry which is…

High Energy Physics - Theory · Physics 2023-01-11 Christopher Couzens , Eric Marcus , Koen Stemerdink , Damian van de Heisteeg

We investigate static, spherically symmetric solutions in gravitational theories which have limited curvature invariants, aiming to remove the singularity in the Schwarzschild space-time. We find that if we only limit the Gauss-Bonnet term…

General Relativity and Quantum Cosmology · Physics 2018-07-25 Daisuke Yoshida , Robert H. Brandenberger

We study slowly rotating, asymptotically flat black holes in Einstein-aether theory and show that solutions that are free from naked finite area singularities form a two-parameter family. These parameters can be thought of as the mass and…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Enrico Barausse , Thomas P. Sotiriou , Ian Vega

Recently, several methods have been proposed to regularize a $D \to 4$ limit of Einstein-Gauss-Bonnet (EGB), leading to nontrivial gravitational dynamics in $4D$. We present an exact nonsingular black hole solution in the $4D$ EGB gravity…

General Relativity and Quantum Cosmology · Physics 2022-04-19 Arun Kumar , Dharmanand Baboolal , Sushant G. Ghosh
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