Discontinuities in Scalar Perturbations of Topological Black Holes

TL;DR

This paper investigates the behavior of scalar perturbations in topological black holes, revealing discontinuities in quasi-normal modes at critical temperatures that suggest a second-order phase transition.

Contribution

It provides analytical and numerical analysis of quasi-normal modes in topological black holes, highlighting phase transition evidence through spectral discontinuities.

Findings

Discontinuities in quasi-normal modes at critical temperature.

Evidence of a second-order phase transition.

Analytical and numerical confirmation of spectral behavior.

Abstract

We study the perturbative behaviour of topological black holes. We calculate both analytically and numerically the quasi-normal modes of scalar perturbations. In the case of small black holes we find discontinuities of the quasi-normal modes spectrum at the critical temperature and we argue that this is evidence of a second-order phase transition.