The Barrow entropies in the thermodynamics of high-dimensional Gauss-Bonnet black holes

TL;DR

This paper investigates how Barrow entropy influences the thermodynamics of high-dimensional Gauss-Bonnet black holes, revealing stability conditions and the effects of coupling and fractal modifications on their evolution.

Contribution

It introduces the impact of Barrow entropy and Gauss-Bonnet coupling on black hole thermodynamics, highlighting stability and evaporation behaviors in higher dimensions.

Findings

Large five-dimensional black holes are stable.

Small black holes evaporate and disappear.

Dimensions six and seven lose all energy due to negative heat capacities.

Abstract

We study the thermodynamics of $D$-dimensional Gauss-Bonnet black holes with Barrow entropy. It is found that the Gauss-Bonnet coupling and the Barrow factor revise the thermodynamic variables such as event horizon, Hawking temperature, entropy and heat capacity. It is interesting that the larger five-dimensional black holes exist stably and the smaller ones evaporate to disappear owing to the nature of heat capacities amended by the coupling and factor. The discussions exhibit that the $D$-dimensional black holes with $D=6, 7$ set free all of their energy to vanish because of the minus heat capacities as functions of Hawking temperature although the extra term and the fractal power bring about their revisions on the functions, but they cannot change the heat capacity signs, so they also cannot change the fate of six- or seven-dimensional black holes.