The phase transition and the Quasi-Normal Modes of black Holes

TL;DR

This paper investigates how quasinormal modes of black holes can indicate phase transitions, providing evidence that they reflect different black hole configurations but do not show dramatic changes at the critical point.

Contribution

It offers new insights into the relationship between quasinormal modes and black hole phase transitions, emphasizing subtle behaviors near critical points.

Findings

Quasinormal modes can distinguish different black hole phases.

No dramatic slope change in frequencies at the phase transition point.

Further detailed studies are necessary to understand subtle behaviors.

Abstract

We reexamined the argument that the quasinormal modes could be a probe of the phase transition of a topological black hole to a hairy configuration by investigating general scalar perturbations. We found further evidence in the quasinormal modes for this phase transition. For the general black hole configurations, we observed that although the quasinormal modes can present us different phases of different configurations, there is no dramatic change in the slope of quasinormal frequencies at the critical point of the phase transition. More detailed studies of quasinormal modes are needed to reveal the subtle behavior of the phase transition.