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

TL;DR

This work analyzes how the Generalized Uncertainty Principle (GUP) modifies the thermodynamics of five‑dimensional Einstein–Gauss–Bonnet black holes. By connecting horizon uncertainties to local thermodynamic equilibrium, it derives a GUP‑corrected mass–temperature relation and shows that the black hole evolves toward a stable remnant with finite temperature, rather than complete evaporation. The study finds non‑logarithmic leading entropy corrections in the pure GB case, with logarithmic terms reappearing only under linear GUP or Doubly Special Relativity (DSR) extensions, indicating that GUP corrections to black hole entropy are sensitive to spacetime dimension and the gravitational theory. These results suggest that quantum gravity effects embedded in higher‑curvature gravity can alter universal expectations for entropy corrections, and invite further exploration across other dimensions and black hole solutions.

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.