Thermodynamics of Einstein-Gauss-Bonnet Black Holes under the Generalized Uncertainty Principle

TL;DR

This paper investigates how the Generalized Uncertainty Principle alters the thermodynamics of five-dimensional Einstein-Gauss-Bonnet black holes, revealing stable remnants and dimension-dependent entropy corrections.

Contribution

It derives a modified mass-temperature relation and entropy for EGB black holes under GUP, highlighting the impact of spacetime dimensionality on thermodynamic corrections.

Findings

Black holes evolve into stable remnants with finite temperature.

Entropy corrections deviate from the logarithmic form.

GUP effects are sensitive to spacetime dimension.

Abstract

We explore the impact of the Generalized Uncertainty Principle (GUP) on the thermodynamics of five-dimensional Einstein-Gauss-Bonnet (EGB) black holes. A modified mass-temperature relation is derived under the assumption of local equilibrium, revealing that the black hole evolves into a stable remnant with a finite temperature, rather than completely evaporating. The corrected entropy, obtained within this framework, deviates from the commonly expected logarithmic form and aligns with similar findings in higher-dimensional Schwarzschild-Tangherlini spacetimes. Our results support the argument that the GUP-induced corrections to the black hole entropy are sensitive to the dimension of spacetime.