Black hole thermodynamics with generalized uncertainty principle

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

2006-09-08

arxiv.org/abs/gr-qc/0609031v2

Phys.Lett.B645:393-397,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 4 eps.figures, version to appear in PLB

Scientific paper

10.1016/j.physletb.2006.12.062

We apply the generalized uncertainty principle to the thermodynamics of a small black hole. Here we have a black hole system with the UV cutoff. It is shown that the minimal length induced by the GUP interrupts the Gross-Perry-Yaffe phase transition for a small black hole. In order to see whether the black hole remnant takes place a transition to a large black hole, we introduce a black hole in a cavity (IR system). However, we fail to show the phase transition of the remnant to the large black hole.

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