Nonextensive Black Hole Entropy and Quantum Gravity Effects at the Last Stages of Evaporation
General Relativity and Quantum Cosmology
2021-02-03 v2
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 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.
Keywords
Cite
@article{arxiv.2009.02129,
title = {Nonextensive Black Hole Entropy and Quantum Gravity Effects at the Last Stages of Evaporation},
author = {Ana Alonso-Serrano and Mariusz P. Dabrowski and Hussain Gohar},
journal= {arXiv preprint arXiv:2009.02129},
year = {2021}
}
Comments
9 pages, 5 figures, extended introduction, results and conclusion, added new references, accepted in Phys. Rev. D