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

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.