Corrections to entropy and thermodynamics of charged black hole using generalized uncertainty principle

TL;DR

This paper investigates how the generalized uncertainty principle (GUP) modifies the entropy and thermodynamics of various charged black holes, revealing positive logarithmic corrections and additional terms in the entropy-area relation.

Contribution

It introduces GUP-based corrections to black hole entropy and thermodynamics for multiple black hole types, highlighting new positive logarithmic terms and additional entropy contributions.

Findings

Logarithmic divergence in entropy becomes positive.

Entropy gains additional terms proportional to the square root of entropy.

GUP significantly alters black hole thermodynamics.

Abstract

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking (black hole) entropy, which relates the entropy to the cross-sectional area of the black hole horizon. Using generalized uncertainty principle (GUP), corrections to the geometric entropy and thermodynamics of black hole will be introduced. The impact of GUP on the entropy near the horizon of three types of black holes; Schwarzschild, Garfinkle-Horowitz-Strominger and Reissner-Nordstr\"om is determined. It is found that the logarithmic divergence in the entropy-area relation turns to be positive. The entropy $S$, which is assumed to be related to horizon's two-dimensional area, gets an additional terms, for instance $2\, \sqrt{\pi}\, \alpha\, \sqrt{S}$, where $\alpha$ is the GUP parameter.