Instability of hairy black holes in regularized 4-dimensional Einstein-Gauss-Bonnet gravity
In regularized 4-dimensional Einstein-Gauss-Bonnet (EGB) gravity derived from a Kaluza-Klein reduction of higher-dimensional EGB theory, we study the existence and stability of black hole (BH) solutions on a static and spherically symmetric background. We show that asymptotically-flat hairy BH solut...
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Format: | Article |
Language: | English |
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Elsevier
2022-10-01
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Series: | Physics Letters B |
Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269322004634 |
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author | Shinji Tsujikawa |
author_facet | Shinji Tsujikawa |
author_sort | Shinji Tsujikawa |
collection | DOAJ |
description | In regularized 4-dimensional Einstein-Gauss-Bonnet (EGB) gravity derived from a Kaluza-Klein reduction of higher-dimensional EGB theory, we study the existence and stability of black hole (BH) solutions on a static and spherically symmetric background. We show that asymptotically-flat hairy BH solutions realized for a spatially-flat maximally symmetric internal space are unstable against linear perturbations for any rescaled GB coupling constant. This instability is present for the angular propagation of even-parity perturbations both in the vicinity of an event horizon and at spatial infinity. There is also a strong coupling problem associated with the kinetic term of even-parity perturbations vanishing everywhere. |
first_indexed | 2024-04-13T00:15:46Z |
format | Article |
id | doaj.art-61918ceadcea413e9e30640d789c6ed5 |
institution | Directory Open Access Journal |
issn | 0370-2693 |
language | English |
last_indexed | 2024-04-13T00:15:46Z |
publishDate | 2022-10-01 |
publisher | Elsevier |
record_format | Article |
series | Physics Letters B |
spelling | doaj.art-61918ceadcea413e9e30640d789c6ed52022-12-22T03:10:56ZengElsevierPhysics Letters B0370-26932022-10-01833137329Instability of hairy black holes in regularized 4-dimensional Einstein-Gauss-Bonnet gravityShinji Tsujikawa0Department of Physics, Waseda University, Shinjuku, Tokyo 169-8555, JapanIn regularized 4-dimensional Einstein-Gauss-Bonnet (EGB) gravity derived from a Kaluza-Klein reduction of higher-dimensional EGB theory, we study the existence and stability of black hole (BH) solutions on a static and spherically symmetric background. We show that asymptotically-flat hairy BH solutions realized for a spatially-flat maximally symmetric internal space are unstable against linear perturbations for any rescaled GB coupling constant. This instability is present for the angular propagation of even-parity perturbations both in the vicinity of an event horizon and at spatial infinity. There is also a strong coupling problem associated with the kinetic term of even-parity perturbations vanishing everywhere.http://www.sciencedirect.com/science/article/pii/S0370269322004634 |
spellingShingle | Shinji Tsujikawa Instability of hairy black holes in regularized 4-dimensional Einstein-Gauss-Bonnet gravity Physics Letters B |
title | Instability of hairy black holes in regularized 4-dimensional Einstein-Gauss-Bonnet gravity |
title_full | Instability of hairy black holes in regularized 4-dimensional Einstein-Gauss-Bonnet gravity |
title_fullStr | Instability of hairy black holes in regularized 4-dimensional Einstein-Gauss-Bonnet gravity |
title_full_unstemmed | Instability of hairy black holes in regularized 4-dimensional Einstein-Gauss-Bonnet gravity |
title_short | Instability of hairy black holes in regularized 4-dimensional Einstein-Gauss-Bonnet gravity |
title_sort | instability of hairy black holes in regularized 4 dimensional einstein gauss bonnet gravity |
url | http://www.sciencedirect.com/science/article/pii/S0370269322004634 |
work_keys_str_mv | AT shinjitsujikawa instabilityofhairyblackholesinregularized4dimensionaleinsteingaussbonnetgravity |