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Title: Statistical description of the black hole degeneracy spectrum

Journal Article · · Physical Review. D, Particles Fields
 [1];  [2]
  1. Instituto de Estructura de la Materia, CSIC, Serrano 123, 28006 Madrid (Spain)
  2. Instituto Gregorio Millan, Grupo de Modelizacion y Simulacion Numerica, Universidad Carlos III de Madrid, Avda. de la Universidad 30, 28911 Leganes (Spain)

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.

OSTI ID:
21502584
Journal Information:
Physical Review. D, Particles Fields, Vol. 83, Issue 10; Other Information: DOI: 10.1103/PhysRevD.83.104013; (c) 2011 American Institute of Physics; ISSN 0556-2821
Country of Publication:
United States
Language:
English

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