English

Black hole thermodynamics with generalized uncertainty principle

General Relativity and Quantum Cosmology 2009-11-19 v2

Abstract

In the standard viewpoint, the temperature of a stationary black hole is proportional to its surface gravity, TH=κ/2πT_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.

Keywords

Cite

@article{arxiv.0901.0603,
  title  = {Black hole thermodynamics with generalized uncertainty principle},
  author = {Li Xiang and X. Q. Wen},
  journal= {arXiv preprint arXiv:0901.0603},
  year   = {2009}
}

Comments

18 pages, great improvement on the first version; a Kerr-Newman black hole is considered

R2 v1 2026-06-21T11:57:51.358Z