Black hole thermodynamics with generalized uncertainty principle

Details Black hole thermodynamics with generalized uncertainty principle Black hole thermodynamics with generalized uncertainty principle

2009-01-06

arxiv.org/abs/0901.0603v2

JHEP 0910:046,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1088/1126-6708/2009/10/046

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.

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