Quantum Corrections for a Bardeen Regular Black Hole

TL;DR

This paper investigates quantum corrections to the thermodynamics of a Bardeen regular black hole using tunneling methods, revealing how quantum effects modify temperature and entropy, and how these corrections relate to classical black hole results.

Contribution

It introduces a quantum tunneling approach to compute thermodynamic corrections for Bardeen black holes, extending semiclassical results to include quantum effects.

Findings

Quantum corrections modify temperature and entropy of Bardeen black holes.

Corrections reduce to Schwarzschild case when charge is zero.

Quantum effects influence black hole thermodynamics beyond semiclassical approximations.

Abstract

In this paper, we study the quantum corrections to the thermodynamical quantities (temperature and entropy) for a Bardeen charged regular black hole by using a quantum tunneling approach over semiclassical approximations. Taking into account the quantum effects, the semiclassical Bekenstein-Hawking temperature and the area law are obtained, which are then used in the first law of thermodynamics to evaluate corrections to these quantities. It is interesting to mention here that these corrections reduce to the corresponding corrections for the Schwarzschild black hole when the charge $e=0$.