Entropy of Reissner-Nordstrom Black Holes with Minimal Length Revisited

TL;DR

This paper revisits the entropy calculation of Reissner-Nordstrom black holes using the generalized uncertainty principle, achieving a finite entropy proportional to the horizon area without the need for an artificial cutoff.

Contribution

It introduces a novel approach based on the generalized uncertainty principle to compute black hole entropy without the traditional cutoff.

Findings

Entropy is finite and proportional to the horizon surface area.

The method eliminates the need for the brick-wall cutoff.

Provides a new perspective on black hole thermodynamics.

Abstract

Based on the generalized uncertainty principle, we study the entropy of a four-dimensional black hole by counting degrees of freedom near the horizon and obtain the (finite) entropy proportional to the surface area at the horizon without a cutoff introduced in the conventional brick-wall method.