Comments on No-Hair Theorems and Stabilty of Blackholes

TL;DR

This paper reviews the concept of blackhole 'hair' and stability issues, focusing on recent string theory-inspired solutions, and discusses the stability of 2D string blackholes versus naked singularities.

Contribution

It provides a critical review of blackhole hair theorems and analyzes the semi-classical stability of 2D string blackholes compared to naked singularities.

Findings

2D string blackhole is semi-classically stable

Naked singularity is unstable to tachyon fluctuations

Comments on the relation between linear dilaton theory and 2D blackhole

Abstract

In the light of recent blackhole solutions inspired by string theory, we review some old statements on field theoretic hair on blackholes. We also discuss some stability issues. In particular we argue that the two dimensional string blackhole solution is semi-classically stable while the naked singularity is unstable to tachyon fluctuations. Finally we comment on the relation between the linear dilaton theory and the $2d$ blackhole solution.