Thermal corrections in Bardeen type regular black holes

TL;DR

This paper investigates quantum thermal corrections to the thermodynamics of Bardeen type regular black holes, providing detailed expressions and analyzing how these corrections affect thermodynamic properties through qualitative and quantitative methods.

Contribution

It introduces quantum corrections to the thermodynamics of Bardeen type regular black holes and analyzes their effects in detail.

Findings

Quantum corrections modify thermodynamic quantities.

Corrected thermodynamic properties are visualized through plots.

Effects of quantum corrections are clearly demonstrated.

Abstract

We carry quantum (thermal) corrections to the thermodynamics of regular black holes in detail. Firstly, we discuss the non-extended phase space thermodynamics of regular black holes. We obtain expressions for various thermodynamic quantities like temperature, entropy, internal energy, Helmholtz free energy, pressure, enthalpy, and Gibbs free energy. Then we introduce quantum corrections to the thermodynamics of Bardeen type (toy model) of regular black holes. The qualitative and quantitative analysis of these corrections is carried by plotting all the corrected thermodynamic quantities. The comparative analysis is then done where the effects of these corrections can be clearly seen.