Simple regular black hole with logarithmic entropy correction

TL;DR

This paper presents a simple regular black hole model within Einstein-nonlinear electrodynamics that incorporates logarithmic entropy corrections, aligning with quantum gravity predictions and featuring a remnant preventing complete evaporation.

Contribution

The authors introduce a regular black hole solution satisfying the weak energy condition with entropy corrected by a logarithmic term, linking it to quantum gravity effects.

Findings

Entropy includes a logarithmic correction term.

The model predicts a black hole remnant preventing total evaporation.

Analogies with quadratic generalized uncertainty principle are established.

Abstract

A simple regular black hole solution satisfying the weak energy condition is obtained within Einstein--non--linear electrodynamics theory. We have computed the thermodynamic properties of this black hole by a careful analysis of the horizons and we have found that the usual Bekenstein--Hawking entropy gets corrected by a logarithmic term. Therefore, in this sense our model realizes some quantum gravity predictions which add this kind of correction to the black hole entropy. In particular, we have established some similitudes between our model and a quadratic generalized uncertainty principle. This similitude has been confirmed by the existence of a remnant, which prevents complete evaporation, in agreement with the quadratic generalized uncertainty principle case.