Phases of Rotating Black Objects in <i>d</i> = 5 Einstein–Gauss–Bonnet Theory

We considered several different classes of asymptotically flat, rotating black objects in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>d</mi><mo>=</mo><mn>5</mn>&...

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Main Authors: Burkhard Kleihaus, Jutta Kunz, Eugen Radu
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/9/4/156
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author Burkhard Kleihaus
Jutta Kunz
Eugen Radu
author_facet Burkhard Kleihaus
Jutta Kunz
Eugen Radu
author_sort Burkhard Kleihaus
collection DOAJ
description We considered several different classes of asymptotically flat, rotating black objects in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>d</mi><mo>=</mo><mn>5</mn></mrow></semantics></math></inline-formula> Einstein–Gauss–Bonnet (EGB) theory. These are black holes with two equal-magnitude angular momenta, in which case extremal configurations are studied as well. Numerical evidence is also given for the existence of EGB generalizations of the Myers–Perry black holes with a single plane of rotation and of the Emparan–Reall balanced black rings. All solutions approach asymptotically the Minkowski background and present no singularities outside or on the horizon. The numerical results suggest that, for any mass of the solutions and any topology of the horizon, the rotating configurations exist up to a maximal value of the GB coupling constant, while the solutions with a spherical horizon topology still satisfy the Einstein gravity bound on angular momentum.
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spelling doaj.art-9535c4e91dd94a63a1b3fee8acdf36d22023-11-17T21:40:04ZengMDPI AGUniverse2218-19972023-03-019415610.3390/universe9040156Phases of Rotating Black Objects in <i>d</i> = 5 Einstein–Gauss–Bonnet TheoryBurkhard Kleihaus0Jutta Kunz1Eugen Radu2Institute of Physics, University of Oldenburg, Postfach 2503, D-26111 Oldenburg, GermanyInstitute of Physics, University of Oldenburg, Postfach 2503, D-26111 Oldenburg, GermanyCentre for Research and Development in Mathematics and Applications (CIDMA), Campus de Santiago, 3810-183 Aveiro, PortugalWe considered several different classes of asymptotically flat, rotating black objects in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>d</mi><mo>=</mo><mn>5</mn></mrow></semantics></math></inline-formula> Einstein–Gauss–Bonnet (EGB) theory. These are black holes with two equal-magnitude angular momenta, in which case extremal configurations are studied as well. Numerical evidence is also given for the existence of EGB generalizations of the Myers–Perry black holes with a single plane of rotation and of the Emparan–Reall balanced black rings. All solutions approach asymptotically the Minkowski background and present no singularities outside or on the horizon. The numerical results suggest that, for any mass of the solutions and any topology of the horizon, the rotating configurations exist up to a maximal value of the GB coupling constant, while the solutions with a spherical horizon topology still satisfy the Einstein gravity bound on angular momentum.https://www.mdpi.com/2218-1997/9/4/156higher-dimensional black holesblack ringshigher curvature theories
spellingShingle Burkhard Kleihaus
Jutta Kunz
Eugen Radu
Phases of Rotating Black Objects in <i>d</i> = 5 Einstein–Gauss–Bonnet Theory
Universe
higher-dimensional black holes
black rings
higher curvature theories
title Phases of Rotating Black Objects in <i>d</i> = 5 Einstein–Gauss–Bonnet Theory
title_full Phases of Rotating Black Objects in <i>d</i> = 5 Einstein–Gauss–Bonnet Theory
title_fullStr Phases of Rotating Black Objects in <i>d</i> = 5 Einstein–Gauss–Bonnet Theory
title_full_unstemmed Phases of Rotating Black Objects in <i>d</i> = 5 Einstein–Gauss–Bonnet Theory
title_short Phases of Rotating Black Objects in <i>d</i> = 5 Einstein–Gauss–Bonnet Theory
title_sort phases of rotating black objects in i d i 5 einstein gauss bonnet theory
topic higher-dimensional black holes
black rings
higher curvature theories
url https://www.mdpi.com/2218-1997/9/4/156
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