Renyi entropies of a black hole from Hawking radiation
A.Bialas, W.Czyz
TL;DR
This paper calculates the Renyi entropies of a black hole using Hawking radiation, successfully reproducing the Bekenstein-Hawking entropy formula by analyzing the states of radiation in a surrounding shell.
Contribution
It introduces a method to evaluate black hole Renyi entropies through state counting in a radiation shell, aligning with established entropy formulas.
Findings
Renyi entropies match the Bekenstein-Hawking entropy.
A shell model effectively captures the radiation states.
The approach confirms the entropy's dependence on horizon properties.
Abstract
Renyi entropies of a black hole are evaluated by counting the states of the Hawking radiation which fills a thin shell surrounding the horizon. The width of the shell is determined from its energy content and the corresponding mass defect. The Bekenstein-Hawking formula for the entropy of the black hole is correctly reproduced.
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