Barrow entropies in black hole thermodynamics

TL;DR

This paper explores how different forms of Barrow entropy, including quantum corrections and non-extensive effects, influence the thermodynamics of Schwarzschild black holes, providing comparative insights into their thermodynamic behavior.

Contribution

It introduces and compares various Barrow entropy models, including quantum and non-extensive corrections, in black hole thermodynamics.

Findings

Quantum corrections modify entropy and temperature relations.

Non-extensive effects alter thermodynamic stability.

Different Barrow entropies lead to distinct thermodynamic behaviors.

Abstract

We study the thermodynamic features of static, spherically-symmetric Schwarzschild black holes adopting different types of Barrow entropy. Specifically, in addition to the standard Barrow entropy, we consider a logarithmic-corrected type of this entropy by taking into account some loop quantum gravity effects. Moreover, we investigate the black hole thermodynamics from the viewpoint of Barrow entropy in presence of non-extensivity effects coming from the Tsallis statistics. Finally, we compare the results obtained for different Barrow-based entropies.