A modified thermodynamics of rotating and charged BTZ black hole

TL;DR

This paper explores the thermodynamics of charged and rotating BTZ black holes, deriving key thermodynamic quantities and analyzing the impact of thermal fluctuations on their stability and properties.

Contribution

It introduces leading-order corrections to thermodynamic potentials of BTZ black holes considering small thermal fluctuations, enhancing understanding of their thermodynamic behavior.

Findings

Derived expressions for entropy, temperature, and free energies.

Calculated leading-order corrections due to thermal fluctuations.

Compared thermodynamic potentials for fixed charge and angular momentum.

Abstract

We present the thermodynamics of a charged and rotating BTZ black holes here. In particular, we derive expressions for various macroscopic thermal quantities such as entropy, Hawking temperature, Helmholtz free energy, internal energy, enthalpy, Gibbs free energy, and specific heat. To study the effects of small statistical thermal fluctuations around the equilibrium on thermodynamics, we calculated the leading-order corrections to the various thermodynamical potentials of charged and rotating BTZ black hole and do comparative analysis for the fixed values of charge and angular momentum.