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arXiv · 2002.00377

Thermodynamics and Phase Transition of Spherically Symmetric Black Hole in de Sitter Space from R\'enyi Statistics

Lunchakorn Tannukij·Pitayuth Wongjun·Ekapong Hirunsirisawat·Tanapat Deesuwan·Chatchai Promsiri
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Abstract

Schwarzschild black holes in a de Sitter background were studied in terms of their thermodynamics based on the R\'enyi statistics. This led to thermodynamically stable black hole configurations for some certain range of black hole radii; namely within this range the corresponding black holes have positive heat capacity. Moreover, for a certain background temperature there can exist at most three configurations of black hole; one among which is thermodynamically stable. These configurations were investigated in terms of their free energies, resulting in the moderate-sized stable black hole configuration being the most preferred configuration. Furthermore, a specific condition on the R\'enyi non-extensive parameter is required if a given hot spacetime were to evolve thermally into the moderate-sized stable black hole.

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Lunchakorn Tannukij, Pitayuth Wongjun, Ekapong Hirunsirisawat, Tanapat Deesuwan, Chatchai Promsiri. 2020-02-02. Thermodynamics and Phase Transition of Spherically Symmetric Black Hole in de Sitter Space from R\'enyi Statistics. https://doi.org/10.1140/epjp/s13360-020-00517-2

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