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

@article{AlonsoSerrano2021NonextensiveBH,
  title={Nonextensive black hole entropy and quantum gravity effects at the last stages of evaporation},
  author={Ana Alonso-Serrano and Mariusz P. Da̧browski and Hussain Gohar},
  journal={Physical Review D},
  year={2021},
  volume={103},
  pages={026021}
}
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… 
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References

SHOWING 1-10 OF 141 REFERENCES
Black Hole Evaporation: Sparsity in Analogue and General Relativistic Space-Times
Our understanding of black holes changed drastically, when Stephen Hawking discovered their evaporation due to quantum mechanical processes. One core feature of this effect, later named after him, is…
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)…
Phys
  • Lett. B 752, 306
  • 2016
Phys
  • Lett. B 726, 861
  • 2013
Classical Quantum Gravity 33
  • 115003
  • 2016
Phys
  • Rev. E 63, 061105
  • 2001
Greybody factor and sparsity of Hawking radiation from a charged spherical black hole with scalar hair
Black Hole Entropy: A Closer Look
TLDR
A non-Boltzmannian entropic functional noted Sδ was applied to this complex system which exhibits the so-called area-law, based on the fact that the well known Bekenstein-Hawking entropy can be expressed as being proportional to the event horizon area divided by the square of the Planck length.
Möbius Transforms, Cycles and q-triplets in Statistical Mechanics
TLDR
The classification that is proposed here hopefully constitutes a useful guideline in the search, for non-BG systems whenever well described through q-indices, of new possibly observable physical properties.
New Frontiers in Fields and Strings (TASI 2015) - Proceedings of the 2015 Theoretical Advanced Study Institute in Elementary Particle Physics
...
...