Issue
EPL
Volume 83, Number 6, September 2008
Article Number 60009
Number of page(s) 3
Section General
DOI http://dx.doi.org/10.1209/0295-5075/83/60009
Published online 15 September 2008
EPL, 83 (2008) 60009
DOI: 10.1209/0295-5075/83/60009

Renyi entropies of a black hole from Hawking radiation

A. Bialas and W. Czyz

M. Smoluchowski Institute of Physics, Jagellonian University - Reymonta 4, 30059 Krakow, Poland, EU, and Institute of Nuclear Physics PAS - Krakow, Poland, EU

bialas@th.if.uj.edu.pl

received 2 May 2008; accepted in final form 6 August 2008; published September 2008
published online 15 September 2008

Abstract
The 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.

PACS
04.70.Bw - Classical black holes.
04.70.Dy - Quantum aspects of black holes, evaporation, thermodynamics.
05.20.-y - Classical statistical mechanics.

© EPLA 2008