Instability of three dimensional conformally dressed black hole

TL;DR

This paper demonstrates that a specific three-dimensional black hole solution with a conformal scalar field is unstable when subjected to linear circularly symmetric perturbations, highlighting potential limitations of such configurations.

Contribution

The study proves the linear instability of a three-dimensional conformally dressed black hole solution, a novel result in the context of black hole stability analysis.

Findings

The black hole is unstable under linear circularly symmetric perturbations.

The instability is proven rigorously within the linear perturbation framework.

This work advances understanding of stability properties of lower-dimensional black holes.

Abstract

The three dimensional black hole solution of Einstein equations with negative cosmological constant coupled to a conformal scalar field is proved to be unstable against linear circularly symmetric perturbations.