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Black hole thermodynamics with generalized uncertainty principle

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arxiv 0901.0603 v2 pith:ME5NM2SC submitted 2009-01-06 gr-qc

classification gr-qc
keywords blackholegeneralizedgravityprinciplesymmetrictemperatureuncertainty
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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.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis

    gr-qc 2024-11 reject novelty 4.0 of 10

    A higher-order GUP is fitted to BBN abundances, but arithmetic errors invalidate the reported parameter bounds.

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