Quasinormal modes and phase Transition of black holes

TL;DR

This paper investigates the perturbations of scalar and fermionic fields in massless BTZ black holes, revealing they exhibit only normal modes and suggesting a distinct phase compared to generic nonrotating BTZ black holes.

Contribution

It demonstrates that massless BTZ black holes have only normal modes in perturbations, indicating a different phase from generic nonrotating BTZ black holes.

Findings

Massless BTZ black holes exhibit only normal modes in perturbations.

This property suggests a different phase for massless BTZ black holes.

Comparison with generic BTZ black holes highlights unique perturbation characteristics.

Abstract

We have studied the scalar field as well as the fermonic field perturbations in the background of the massless BTZ black holes. Comparing with the perturbation results in the generic nonrotating BTZ black hole background, we found that the massless BTZ hole contains only normal modes in the perturbations. We argued that this special property reflects that the massless BTZ black hole is a different phase from that of the generic nonrotating BTZ hole.