Quasi Normal Modes and P-V Criticallity for scalar perturbations in a class of dRGT massive gravity around Black Holes

TL;DR

This paper studies the quasi normal modes and thermodynamic phase transitions of neutral and charged black holes in a specific dRGT massive gravity model, revealing how the massive parameter influences oscillation frequencies and phase behavior.

Contribution

It introduces a detailed analysis of QNMs and P-V criticality in dRGT black holes, highlighting the effects of the massive parameter and charge on their thermodynamic properties.

Findings

QNMs magnitude increases with the massive parameter m_g

Neutral black holes show no phase transition

Charged black holes exhibit a clear phase transition

Abstract

We investigate black holes in a class of dRGT massive gravity for their quasi normal modes (QNMs) for neutral and charged ones using Improved Asymptotic Iteration Method (Improved AIM) and their thermodynamic behavior. The QNMs are studied for different values of the massive parameter m_g for both neutral and charged dRGT black holes under a massless scalar perturbation. As m_g increases, the magnitude of the quasi normal frequencies are found to be increasing. The results are also compared with the Schwarzchild de Sitter (SdS) case. P-V criticallity of the aforesaid black hoels under massles scalar perturbation in the de Sitter space are also studied in this paper. It is found that the thermodynamic behavior of a neutral black hole shows no physically feasible phase transition while a charged black hole shows a definite phase transition.