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Nonextensive Black Hole Entropy and Quantum Gravity Effects at the Last Stages of Evaporation

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arxiv 2009.02129 v2 pith:HSA5KQOH submitted 2020-09-04 gr-qc

Ana Alonso-Serrano , Mariusz P. Dabrowski , Hussain Gohar This is my paper · ORCID
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keywords enyiblackeffectsentropyradiationsparsitytemperatureassociated
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We analyze the Generalized Uncertainty Principle (GUP) impact onto the nonextensive black hole thermodynamics by using R\'enyi entropy. We show that when introducing GUP effects, both R\'enyi entropy and temperature associated to black holes have finite values at the end of the evaporation process. We also study the sparsity of the radiation, associated with R\'enyi temperature, and compare it with the sparsity of Hawking radiation. Finally, we investigate GUP modifications to the sparsity of the radiation when GUP effects are introduced into R\'enyi temperature.

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Cited by 2 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.

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