Thermodynamical and dynamical properties of Charged BTZ Black Holes

TL;DR

This paper explores the spacetime, thermodynamical phase transitions, and dynamical perturbations of charged BTZ black holes with Maxwell and Born-Infeld fields, revealing rich structural and dynamic properties.

Contribution

It provides a comprehensive analysis of the thermodynamical and dynamical behaviors of charged BTZ black holes, highlighting new phase transition phenomena and dynamical features.

Findings

Rich spacetime structures vary with model parameters

Thermodynamical phase transitions are characterized using Landau-Lifshitz theory

Dynamical properties change notably during phase transitions

Abstract

We investigate the spacetime properties of BTZ black holes in the presence of the Maxwell field and Born-Infeld field and find rich properties in the spacetime structures when the model parameters are varied. Employing the Landau-Lifshitz theory, we examine the thermodynamical phase transition in the charged BTZ black holes. We further study the dynamical perturbation in the background of the charged BTZ black holes and find different properties in the dynamics when the thermodynamical phase transition occurs.