Instability of hairy black holes in regularized 4-dimensional Einstein-Gauss-Bonnet gravity
General Relativity and Quantum Cosmology
2022-08-02 v2 High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2205.09932,
title = {Instability of hairy black holes in regularized 4-dimensional Einstein-Gauss-Bonnet gravity},
author = {Shinji Tsujikawa},
journal= {arXiv preprint arXiv:2205.09932},
year = {2022}
}
Comments
16 pages, no figures