Quantum Corrections for ABGB Black Hole

TL;DR

This paper investigates quantum corrections to the thermodynamic properties of a regular ABGB black hole using tunneling methods, revealing logarithmic entropy corrections and their relation to Schwarzschild black holes.

Contribution

It introduces a method to compute quantum corrections to black hole temperature and entropy for the ABGB solution beyond semiclassical approximation.

Findings

Leading order entropy correction is logarithmic.

Corrections reduce to Schwarzschild case when charge is zero.

Quantum effects modify black hole thermodynamics.

Abstract

In this paper, we study quantum corrections to the temperature and entropy of a regular Ay\'{o}n-Beato-Garc\'{\i}a-Bronnikov black hole solution by using tunneling approach beyond semiclassical approximation. We use the first law of black hole thermodynamics as a differential of entropy with two parameters, mass and charge. It is found that the leading order correction to the entropy is of logarithmic form. In the absence of the charge, i.e., $e=0$, these corrections approximate the corresponding corrections for the Schwarzschild black hole.