TY - JOUR
T1 - Instability of hairy black holes in regularized 4-dimensional Einstein-Gauss-Bonnet gravity
AU - Tsujikawa, Shinji
N1 - Funding Information:
The author thanks Masato Minamitsuji for useful comments on the draft. This work was supported by the Grant-in-Aid for Scientific Research Fund of the JSPS Nos. 19K03854 and 22K03642 .
Publisher Copyright:
© 2022 The Author(s)
PY - 2022/10/10
Y1 - 2022/10/10
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85135704843&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85135704843&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2022.137329
DO - 10.1016/j.physletb.2022.137329
M3 - Article
AN - SCOPUS:85135704843
SN - 0370-2693
VL - 833
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
M1 - 137329
ER -