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Scalar Hairy Black Holes in Four Dimensions are Unstable

2017/11/30 by Bogdan Ganchev, Jorge E. Santos · 1 citation
Physics and Astronomy · #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevlett.120.171101

published as Phys. Rev. Lett. 120, 171101 (2018) · Accepted for publication in PRL version

arxiv created 2018/04/19 · arxiv updated 2018/05/02

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.

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