On the computation of black hole entropy in loop quantum gravity

Details On the computation of black hole entropy in loop quantum gravity On the computation of black hole entropy in loop quantum gravity

2008-10-09

arxiv.org/abs/0810.1599v1

Class.Quant.Grav.26:035017,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages

Scientific paper

10.1088/0264-9381/26/3/035017

We discuss some issues related to the computation of black hole entropy in loop quantum gravity from the novel point of view provided by the recent number-theoretical methods introduced by the authors and their collaborators. In particular we give exact expressions, in the form of integral transforms, for the black hole entropy in terms of the area. We do this by following several approaches based both on our combinatorial techniques and also on functional equations similar to those employed by Meissner in his pioneering work on this subject. To put our results in perspective we compare them with those of Meissner. We will show how our methods confirm some of his findings, extend the validity of others, and correct some mistakes. At the end of the paper we will discuss the delicate issue of the asymptotics of black hole entropy.

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