Black hole thermodynamics with generalized uncertainty principle

TL;DR

This paper derives a unified black hole temperature expression incorporating quantum gravity effects via the generalized uncertainty principle, analyzing various black hole types and discussing implications for black hole remnants.

Contribution

It introduces a novel unified temperature formula based on GUP and considers the black hole's irreducible mass as the characteristic absorption size, extending previous models.

Findings

Derived a generalized black hole temperature formula incorporating GUP effects.

Analyzed temperature behavior for static, spherically symmetric, and Kerr-Newman black holes.

Discussed the information capacity of black hole remnants using Bousso's D-bound.

Abstract

In the standard viewpoint, the temperature of a stationary black hole is proportional to its surface gravity, $T_H=\hbar\kappa/2\pi$. This is a semiclassical result and the quantum gravity effects are not taken into consideration. This Letter explores a unified expression for the black hole temperature in the sense of a generalized uncertainty principle(GUP). Our discussion involves a heuristic analysis of a particle which is absorbed by the black hole. Besides a class of static and spherically symmetric black holes, an axially symmetric Kerr-Newman black hole is considered. Different from the existing literature, we suggest that the black hole's irreducible mass represent the characteristic size in the absorption process. The information capacity of a remnant is also discussed by Bousso's D-bound in de Sitter spacetime.