Black hole thermodynamics with generalized uncertainty principle
General Relativity and Quantum Cosmology
2008-11-26 v2 High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.gr-qc/0609031,
title = {Black hole thermodynamics with generalized uncertainty principle},
author = {Yun Soo Myung and Yong-Wan Kim and Young-Jai Park},
journal= {arXiv preprint arXiv:gr-qc/0609031},
year = {2008}
}
Comments
11 pages, 4 eps.figures, version to appear in PLB