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Phys. Rev. D 77, 104024 (2008) [11 pages]

Black hole state degeneracy in loop quantum gravity

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Iván Agulló1,2,*, Jacobo Díaz-Polo3,4,†, and Enrique Fernández-Borja2,3,‡
1Department of Physics, University of Maryland, College Park, Maryland 20742
2Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Facultad de Física, Universidad de Valencia, Burjassot-46100, Valencia, Spain
3Departamento de Astronomía y Astrofísica, Universidad de Valencia, Burjassot-46100, Valencia, Spain
4Instituto de Matemáticas, Universidad Nacional Autónoma de México, A. Postal 61-3, Morelia, Michoacán 58090, México

Received 26 February 2008; published 20 May 2008

The combinatorial problem of counting the black hole quantum states within the isolated horizon framework in loop quantum gravity is analyzed. A qualitative understanding of the origin of the band structure shown by the degeneracy spectrum, which is responsible for the black hole entropy quantization, is reached. Even when motivated by simple considerations, this picture allows to obtain analytical expressions for the most relevant quantities associated to this effect.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.77.104024
DOI:
10.1103/PhysRevD.77.104024
PACS:
04.70.Dy, 04.60.Pp

*Ivan.Agullo@uv.es

†Jacobo.Diaz@uv.es

‡Enrique.Fernandez@uv.es

 
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