Quantum corrections to thermodynamics of quasitopological black holes

TL;DR

This paper studies how thermal fluctuations modify the thermodynamics of small charged and rotating quasitopological black holes, deriving corrections to key thermodynamic quantities and analyzing their stability.

Contribution

It introduces leading-order quantum corrections to the thermodynamics of quasitopological black holes due to thermal fluctuations, including effects on free energy, charge, and mass.

Findings

Thermal fluctuations significantly affect small black hole thermodynamics.

Corrections alter stability and bound points of black holes.

Comparative analysis shows deviations from classical thermodynamics at small scales.

Abstract

Based on the modification to area-law due to thermal fluctuation at small horizon radius, we investigate the thermodynamics of charged quasitopological and charged rotating quasitopological black holes. In particular, we derive the leading-order corrections to the Gibbs free energy, charge and total mass densities. In order to analyse the behavior of the thermal fluctuations on the thermodynamics of small black holes, we draw a comparative analysis between the first-order corrected and original thermodynamical quantities. We also examine the stability and bound points of such black holes under effect of leading-order corrections.