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Effective thermodynamical system of Schwarzschild-de Sitter black holes from R\'{e}nyi statistics

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arxiv 2106.02838 v2 pith:JCQXMTSL submitted 2021-06-05 gr-qc

Ratchaphat Nakarachinda , Ekapong Hirunsirisawat , Lunchakorn Tannukij , Pitayuth Wongjun This is my paper · ORCID
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keywords blackholeeffectivesystemapproachphaseseparatedtemperature
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It has been known that the Schwarzschild-de Sitter (Sch-dS) black hole may not be in thermal equilibrium and also be found to be thermodynamically unstable in the standard black hole thermodynamics. In the present work, we investigate the possibility to realize the thermodynamical stability of the Sch-dS black hole as an effective system by using the R\'{e}nyi statistics, which includes the non-extensive nature of black holes. Our results indicate that the non-extensivity allows the black hole to be thermodynamically stable which gives rise to the lower bound on the non-extensive parameter. By comparing the results to ones in the separated system approach, we find that the effective temperature is always smaller than the black hole horizon temperature and the thermodynamically stable black hole in effective approach is always larger than one in separated approach at a certain temperature. There exists only the zeroth-order phase transition from the the hot gas phase to the black hole phase for the effective system while it is possible to have the transition of both the zeroth order and the first order for the separated system.

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Cited by 4 Pith papers

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    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.

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    gr-qc 2026-07 conditional novelty 4.0 of 10

    A generalized-entropy black-hole model with horizon temperature fixed by entropy predicts sign-controlled ISCO, shadow, and efficiency shifts, but relies on an arbitrary exterior profile p.

  4. Gravitational decoupling and regular hairy black holes: Geodesic stability, quasinormal modes, and thermodynamic properties

    gr-qc 2025-12 conditional novelty 4.0 of 10

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