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arXiv · 0901.0603

Black hole thermodynamics with generalized uncertainty principle

Li Xiang·X. Q. Wen
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Abstract

In the standard viewpoint, the temperature of a stationary black hole is proportional to its surface gravity, $T_H=\hbarκ/2π$. 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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Li Xiang, X. Q. Wen. 2009-03-18. Black hole thermodynamics with generalized uncertainty principle. https://doi.org/10.1088/1126-6708/2009/10/046

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