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

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arxiv 2002.00377 v1 pith:L7SUMLUV submitted 2020-02-02 gr-qc

Lunchakorn Tannukij , Pitayuth Wongjun , Ekapong Hirunsirisawat , Tanapat Deesuwan , Chatchai Promsiri This is my paper · ORCID
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Black Hole Thermodynamics via Tsallis Statistical Mechanics

    gr-qc 2025-02 conditional novelty 6.0 of 10

    The authors derive a q-modified black hole entropy from Tsallis statistics applied to a near-horizon gas and show that a negative non-extensive parameter can stabilize a Schwarzschild black hole.

  2. Modified Cosmology from Mass-to-Horizon Relation: Background Evolution

    gr-qc 2026-06 unverdicted novelty 5.0 of 10

    Viable generalized horizon entropies from the mass-to-horizon relation are restricted to a narrow neighborhood around the Bekenstein-Hawking law, yielding only Lambda-CDM-like background evolution.

  3. Black Holes Thermodynamics and Generalised Non-Extensive Entropy

    gr-qc 2025-02 conditional novelty 4.0 of 10

    For Schwarzschild black holes, generalized non-extensive entropies such as Rényi, Tsallis, and four- and five-parameter forms cannot reproduce both the Hawking temperature and the ADM mass; only the Bekenstein-Hawking...

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