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On the computation of black hole entropy in loop quantum gravity

AutorBarbero González, Jesús Fernando ; Villaseñor, Eduardo J. S.
Palabras clave[PACS] Quantum aspects of black holes, evaporation, thermodynamics
[PACS] Combinatorics; graph theory
[PACS] Loop quantum gravity, quantum geometry, spin foams
[PACS] Integral transforms
Fecha de publicación16-ene-2009
EditorInstitute of Physics Publishing
CitaciónClassical and Quantum Gravity, 26 (3) 035017 (2009)
ResumenWe discuss some issues related to the computation of black hole entropy in loop quantum gravity from the novel point of view provided by the recent number-theoretical methods introduced by the authors and their collaborators. In particular we give exact expressions, in the form of integral transforms, for the black hole entropy in terms of the area. We do this by following several approaches based both on our combinatorial techniques and on functional equations similar to those employed by Meissner in his pioneering work on this subject. To put our results in perspective, we compare them with those of Meissner. We will show how our methods confirm some of his findings, extend the validity of others and correct some mistakes. At the end of the paper, we will discuss the delicate issue of the asymptotics of black hole entropy.
Descripción22 pags.
Versión del editorhttp://dx.doi.org/ 0264-9381/09/035017+22$30.00
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