Detailed black hole state counting in loop quantum gravity

We give a complete and detailed description of the computation of black hole entropy in loop quantum gravity by employing the most recently introduced number-theoretic and combinatorial methods. The use of these techniques allows us to perform a detailed analysis of the precise structure of the entr...

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Bibliographic Details
Published inarXiv.org
Main Authors Agullo, Ivan, J Fernando Barbero G, Borja, Enrique F, Diaz-Polo, Jacobo, Villaseñor, Eduardo J S
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 19.01.2011
Subjects
Black holes
Combinatorial analysis
Entropy
Mathematics - Mathematical Physics
Physics - General Relativity and Quantum Cosmology
Physics - High Energy Physics - Theory
Physics - Mathematical Physics
Quantum gravity
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Summary:We give a complete and detailed description of the computation of black hole entropy in loop quantum gravity by employing the most recently introduced number-theoretic and combinatorial methods. The use of these techniques allows us to perform a detailed analysis of the precise structure of the entropy spectrum for small black holes, showing some relevant features that were not discernible in previous computations. The ability to manipulate and understand the spectrum up to the level of detail that we describe in the paper is a crucial step towards obtaining the behavior of entropy in the asymptotic (large horizon area) regime.
ISSN:2331-8422
DOI:10.48550/arxiv.1101.3660