Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes

TL;DR

This paper demonstrates that quasinormal modes of scalar perturbations can serve as dynamic indicators of the Van der Waals-like phase transition in charged AdS black holes, revealing significant changes near the critical point.

Contribution

It shows that quasinormal mode slopes change dramatically near the phase transition, providing a new dynamic probe for black hole thermodynamics.

Findings

Quasinormal mode slopes differ significantly between small and large black holes near the critical point.

The study supports quasinormal modes as a dynamic indicator of thermodynamic phase transitions.

The work focuses on Reissner-Nordstrom-AdS black holes and scalar perturbations.

Abstract

We calculate the quasinormal modes of massless scalar perturbations around small and large four-dimensional Reissner-Nordstrom-Anti de Sitter (RN-AdS) black holes. We find a dramatic change in the slopes of quasinormal frequencies in small and large black holes near the critical point where the Van der Waals like thermodynamic phase transition happens. This further supports that the quasinormal mode can be a dynamic probe of the thermodynamic phase transition.