Phase transition and Quasinormal modes for Charged black holes in 4D Einstein-Gauss-Bonnet gravity

TL;DR

This paper investigates how quasinormal modes of massless scalar perturbations can serve as dynamic indicators of the Van der Waals-like phase transition between small and large charged AdS black holes in 4D Einstein-Gauss-Bonnet gravity, revealing distinct frequency slope changes near the critical point.

Contribution

It demonstrates that QNMs can dynamically signal the SBH/LBH phase transition in charged AdS black holes within 4D Einstein-Gauss-Bonnet gravity, a novel application of QNM analysis.

Findings

QNM frequency slopes differ significantly near the critical point.

QNM signatures can detect the SBH/LBH phase transition.

Results support QNMs as probes of black hole thermodynamics.

Abstract

In this paper, we study the quasinormal modes(QNMs) of massless scalar perturbations to probe the Van der Waals like small and large black holes(SBH/LBH) phase transition of (charged) AdS black holes in the 4-dimensional Einstein Gauss-Bonnet gravity. We find that the signature of this SBH/LBH phase transition in the isobaric process can be detected since the slopes of the QNMs frequencies change drastically different in small and large black holes near the critical point. The obtained results further support that the QNMs can be a dynamic probe of the thermodynamic properties in black holes.