Quasinormal Modes and Thermodynamics of Linearly Charged BTZ Black holes in Massive Gravity in (Anti)de Sitter Space Time

TL;DR

This paper investigates the quasinormal modes and thermodynamic properties of linearly charged BTZ black holes in massive gravity within (Anti)de Sitter space, revealing how mass and charge influence stability and phase transitions.

Contribution

It provides a detailed analysis of how massive gravity parameters and charge affect QNMs and thermodynamics of BTZ black holes, highlighting phase transition behavior.

Findings

QNMs vary with massive parameter and charge

Black hole thermodynamics show phase transition indications

Specific heat behavior depends on charge and mass

Abstract

In this work we study the Quasi Normal Modes(QNMs) under massless scalar perturbations and the thermodynamics of linearly charged BTZ black holes in massive gravity in the (Anti)de Sitter((A)dS) space time. It is found that the behavior of QNMs changes with the massive parameter and also with the charge of the black hole. The thermodynamics of such black holes in the (A)dS space time is also analyzed in detail. The behavior of specific heat with temperature for such black holes gives an indication of a phase transition that depends on the massive parameter and also on the charge of the black hole.