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arxiv: gr-qc/0609031 · v2 · submitted 2006-09-08 · 🌀 gr-qc · hep-th

Black hole thermodynamics with generalized uncertainty principle

classification 🌀 gr-qc hep-th
keywords blackholetransitiongeneralizedlargephaseprincipleremnant
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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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