Scalar Hairy Black Holes in Four Dimensions are Unstable
General Relativity and Quantum Cosmology
2018-05-02 v4 High Energy Physics - Theory
Abstract
We present a numerical analysis of the stability properties of the black holes with scalar hair constructed by Herdeiro and Radu. We prove the existence of a novel gauge where the scalar field perturbations decouple from the metric perturbations, and analyse the resulting quasinormal mode spectrum. We find unstable modes with characteristic growth rates which for uniformly small hair are almost identical to those of a massive scalar field on a fixed Kerr background.
Keywords
Cite
@article{arxiv.1711.08464,
title = {Scalar Hairy Black Holes in Four Dimensions are Unstable},
author = {Bogdan Ganchev and Jorge E. Santos},
journal= {arXiv preprint arXiv:1711.08464},
year = {2018}
}
Comments
Accepted for publication in PRL version