Phase Transition of Charged-AdS Black Holes and Quasinormal Modes : a Time Domain Analysis

TL;DR

This paper investigates how quasinormal modes of scalar perturbations can signal phase transitions in charged-AdS black holes through time domain analysis, revealing clear signatures away from the critical temperature.

Contribution

It extends previous studies by applying time domain analysis to quasinormal modes, demonstrating their effectiveness in detecting thermodynamic phase transitions in black holes.

Findings

Quasinormal modes show clear signals of phase transition in damping rate and oscillation frequencies.

Effective detection of phase transition signatures away from the critical temperature.

Failure to detect phase transition signatures at the critical temperature.

Abstract

In this work we use the quasinormal mode of a massless scalar perturbation to probe the phase transition of the charged-AdS black hole in time profile. The signature of the critical behavior of this black hole solution is detected in the isobaric process. This paper is a natural extension of [1, 2] to the time domain analysis. More precisely, our study shows a clear signal in term of the damping rate and the oscillation frequencies of the scalar field perturbation. We conclude that the quasinormal modes can be an efficient tool to detect the signature of thermodynamic phase transition in the isobaric process far from the critical temperature, but fail to disclose this signature at the critical temperature