Renyi entropies of a black hole from Hawking radiationA. 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
received 2 May 2008; accepted in final form 6 August 2008; published September 2008
published online 15 September 2008
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.
04.70.Bw - Classical black holes.
04.70.Dy - Quantum aspects of black holes, evaporation, thermodynamics.
05.20.-y - Classical statistical mechanics.
© EPLA 2008