Minimal length and the flow of entropy from black holes

Abstract

The existence of a minimal length, predicted by different theories of quantum gravity, can be phenomenologically described in terms of a generalized uncertainty principle. We consider the impact of this quantum gravity motivated effect onto the information budget of a black hole and the sparsity of Hawking radiation during the black hole evaporation process. We show that the information is not transmitted at the same rate during the final stages of the evaporation and that the Hawking radiation is not sparse anymore when the black hole approaches the Planck mass.

arXiv commentAwarded Honorable Mention in the 2018 Gravity Research Foundation Essay Competition

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• $P-v$ criticalities, phase transitions and geometrothermodynamics of charged AdS black holes from Kaniadakis statistics
• Generalized Uncertainty Principle Impact on Nonextensive Black Hole Thermodynamics
• Black hole geometrothermodynamics and critical phenomena: a look from Tsallis entropy-based perspective
• Rainbow gravity corrections to the information flux of a black hole and the sparsity of Hawking radiation
• On the effect of scalar fields on Hawking radiation and quasinormal modes of black holes