Generating functions for black hole entropy in Loop Quantum Gravity

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dc.creatorG., J. Fernando Barbero
dc.creatorVillaseñor, Eduardo J. S.
dc.date2008-04-30
dc.date.accessioned2026-07-07T11:33:43Z
dc.date.available2026-07-07T11:33:43Z
dc.descriptionWe introduce, in a systematic way, a set of generating functions that solve all the different combinatorial problems that crop up in the study of black hole entropy in Loop Quantum Gravity. Specifically we give generating functions for: The different sources of degeneracy related to the spectrum of the area operator, the solutions to the projection constraint, and the black hole degeneracy spectrum. Our methods are capable of handling the different countings proposed and discussed in the literature. The generating functions presented here provide the appropriate starting point to extend the results already obtained for microscopic black holes to the macroscopic regime --in particular those concerning the area law and the appearance of an effectively equidistant area spectrum.
dc.descriptionnine pages
dc.identifierhttps://arxiv.org/abs/0804.4784
dc.identifierhttp://arxiv.org/abs/0804.4784
dc.identifierPhys.Rev.D77:121502,2008
dc.identifierdoi:10.1103/PhysRevD.77.121502
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197994
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.subjectCombinatorics
dc.titleGenerating functions for black hole entropy in Loop Quantum Gravity
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