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Area-law versus R\'enyi and Tsallis black hole entropies

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arxiv 2109.05315 v2 pith:J2BURC46 submitted 2021-09-11 gr-qc hep-th

Shin'ichi Nojiri , Sergei D. Odintsov , Valerio Faraoni This is my paper · ORCID
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keywords entropiesentropyenyitsallisarea-lawbekenstein-hawkingblackdiscussed
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The R\'enyi and Tsallis entropies are discussed as possible alternatives to the Bekenstein-Hawking area-law entropy. It is pointed out how replacing the entropy notion, but not the Hawking temperature and the thermodynamical energy may render the whole black hole thermodynamics inconsistent. The possibility to relate the R\'enyi and Tsallis entropies with the quantum gravity corrected Bekenstein-Hawking entropy is discussed.

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Cited by 5 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

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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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    Wormhole throats constructed from entropy-induced black-hole metrics always have negative surface energy; constant-barotropic shells are linearly unstable, while variable Chaplygin shells can be stable.

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

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    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.

  4. Holographic Fractional Order Phase Transitions in CFTs Dual to AdS Black Holes

    hep-th 2025-06 conditional novelty 5.0 of 10

    The paper finds that holographic CFT phase transitions at Davies temperature-extremum points are of fractional order 3/2, while those at inflection critical points are of order 4/3, for several AdS black hole models.

  5. 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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