Quantum fluctuations of a regular charged black hole in massive gravity

TL;DR

This paper investigates the thermodynamics of a regular charged black hole influenced by massive gravity and quantum thermal fluctuations, deriving corrected thermodynamic quantities and analyzing stability compared to the original black hole model.

Contribution

It introduces quantum and massive gravity corrections to the thermodynamics of regular charged black holes, providing new insights into their stability and thermodynamic behavior.

Findings

Quantum corrections affect entropy and temperature.

Massive gravity influences thermodynamic stability.

Comparative analysis shows modified black holes have different stability regimes.

Abstract

We examine the thermodynamics of a regular charged black hole (RCB) added with corrections due to massive gravity and thermal fluctuations at quantum level. We then derive the expressions for all the relevant thermodynamic quantities such as entropy, Hawkings temperature, internal energy, Gibbs free energy, corrected to first order. We also briefly discuss the stability of such a system with the help of quantities like specific heat and thermodynamic pressure, along with this we present their comparative study with the corresponding original values.