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...

Full description

Bibliographic Details
Main Author: Shinji Tsujikawa
Format: Article
Language:English
Published: Elsevier 2022-10-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269322004634
_version_ 1811277452211650560
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