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Entropy calculation for a toy black hole

Hanno Sahlmann

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In this paper, we carry out the counting of states for a black hole in loop quantum gravity, assuming however an equidistant area spectrum. We find that this toy-model is exactly solvable, and we show that its behavior is very similar to that of the correct model. Thus this toy-model can be used as a nice and simplifying 'laboratory' for questions about the full theory.


PACS

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

04.60.Pp Loop quantum gravity, quantum geometry, spin foams

MSC

83C57 Black holes

83C45 Quantization of the gravitational field

Subjects

Gravitation and cosmology

Dates

Issue 5 (7 March 2008)

Received 22 October 2007, in final form 8 January 2008

Published 12 February 2008



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