Linear stability of charged warm holes

TL;DR

This paper investigates the stability of a recently proposed hairy charged black hole, finding stability in vector and scalar perturbations and analyzing its quasinormal modes and quasibound states.

Contribution

It provides the first stability analysis of this novel black hole solution, including vector and scalar perturbations and QNM and QBS computations.

Findings

Vector perturbations are stable.

Scalar sector for l=0 is stable.

Computed quasinormal modes and quasibound states.

Abstract

Charged black holes are known to suffer from an interior instability associated with the presence of the Cauchy horizon. Recently, a hairy charged black hole was proposed that avoids the formation of a Cauchy horizon. It is natural to question whether this instability might manifest in the exterior solution. In this paper, we have analyzed the stability of this black hole. Our results show that vector perturbations are stable, along with the scalar sector for $l=0$. We have also computed the corresponding quasinormal modes (QNMs) and quasibound states (QBSs).