The combinatorics of the SU(2) black hole entropy in loop quantum gravity

We use the combinatorial and number-theoretical methods developed in previous work by the authors to study black hole entropy in the new proposal put forward by Engle, Noui and Perez. Specifically we give the generating functions relevant for the computation of the entropy and use them to derive its...

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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 17.09.2009
Subjects
Asymptotic properties
Black holes
Combinatorial analysis
Entropy
Mathematics - Mathematical Physics
Physics - General Relativity and Quantum Cosmology
Physics - Mathematical Physics
Quantum gravity
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Summary:We use the combinatorial and number-theoretical methods developed in previous work by the authors to study black hole entropy in the new proposal put forward by Engle, Noui and Perez. Specifically we give the generating functions relevant for the computation of the entropy and use them to derive its asymptotic behavior including the value of the Immirzi parameter and the coefficient of the logarithmic correction.
ISSN:2331-8422
DOI:10.48550/arxiv.0906.4529