Behavior of Quasinormal Modes and high dimension RN-AdS Black Hole phase transition

TL;DR

This paper investigates how quasinormal modes of a massless scalar perturbation can signal phase transitions in high-dimensional charged-AdS black holes, revealing their effectiveness for first-order but not second-order transitions.

Contribution

It extends previous work to higher dimensions, demonstrating that quasinormal modes can detect first-order phase transitions in high-dimensional RN-AdS black holes.

Findings

Quasinormal modes signal first-order phase transitions in all dimensions.

Signature of phase transition depends on pressure and horizon radius in isothermal processes.

Quasinormal modes do not reveal second-order phase transition signatures.

Abstract

In this work we use the quasinormal frequencies of a massless scalar perturbation to probe the phase transition of the high dimension charged-AdS black hole. The signature of the critical behavior of this black hole solution is detected in the isobaric as well as in isothermal process. This paper is a natural generalization of \cite{base} to higher dimensional spacetime. More precisely our study shows a clear signal for any dimension $d$ in the isobaric process. As to the isothermal case, we find out that this signature can be affected by other parameters like the pressure and the horizon radius. We conclude that the quasinormal modes can be an efficient tool to investigate the first order phase transition, but fail to disclose the signature of the second order phase transition.