Statistical description of the black hole degeneracy spectrum

Details Statistical description of the black hole degeneracy spectrum Statistical description of the black hole degeneracy spectrum

2011-01-19

arxiv.org/abs/1101.3662v1

Phys.Rev.D83:104013,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

41 pages, 12 figures

Scientific paper

10.1103/PhysRevD.83.104013

We use mathematical methods based on generating functions to study the statistical properties of the black hole degeneracy spectrum in loop quantum gravity. In particular we will study the persistence of the observed effective quantization of the entropy as a function of the horizon area. We will show that this quantization disappears as the area increases despite the existence of black hole configurations with a large degeneracy. The methods that we describe here can be adapted to the study of the statistical properties of the black hole degeneracy spectrum for all the existing proposals to define black hole entropy in loop quantum gravity.

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