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Black hole thermodynamics with generalized uncertainty principle

Yun Soo Myung·Yong-Wan Kim·Young-Jai Park
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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.

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Yun Soo Myung, Yong-Wan Kim, Young-Jai Park. 2006-12-25. Black hole thermodynamics with generalized uncertainty principle. https://doi.org/10.1016/j.physletb.2006.12.062

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