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Nonextensive black hole entropy and quantum gravity effects at the last stages of evaporation

2020/09/30 by Ana Alonso-Serrano, Mariusz P. Da̧browski, Mariusz P. Dabrowski +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Computer science #Cosmology and Gravitation Theories #Entropy (arrow of time) #Evaporation #Hawking #Hawking radiation #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum gravity #Quantum mechanics #Radiation #Statistical physics #Thermodynamics #Uncertainty principle #gr-qc

paper · pdf · doi:10.1103/physrevd.103.026021

published as Phys. Rev. D 103, 026021 (2021) · 9 pages, 5 figures, extended introduction, results and conclusion, added new references, accepted in Phys. Rev. D

arxiv created 2021/01/05 · openalex publication_date 2021/01/28 · arxiv updated 2021/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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 with 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.

Citations