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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MDPI AG
2023-03-01
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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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issn | 2218-1997 |
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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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