Quantum geometry and microscopic black hole entropy

dc.creatorCorichi, Alejandro
dc.creatorDiaz-Polo, Jacobo
dc.creatorFernandez-Borja, Enrique
dc.date2006-05-01
dc.date2006-08-14
dc.date.accessioned2026-07-07T11:57:40Z
dc.date.available2026-07-07T11:57:40Z
dc.descriptionQuantum black holes within the loop quantum gravity (LQG) framework are considered. The number of microscopic states that are consistent with a black hole of a given horizon area $A_0$ are counted and the statistical entropy, as a function of the area, is obtained for $A_0$ up to $550 l^2_{\rm Pl}$. The results are consistent with an asymptotic linear relation and a logarithmic correction with a coefficient equal to -1/2. The Barbero-Immirzi parameter that yields the asymptotic linear relation compatible with the Bekenstein-Hawking entropy is shown to coincide with a value close to $γ=0.274$, which has been previously obtained analytically. However, a new and oscillatory functional form for the entropy is found for small, Planck size, black holes that calls for a physical interpretation.
dc.description10 pages, Revtex4 file, 7 new figures. Discussion expanded, same conclusions
dc.identifierhttps://arxiv.org/abs/gr-qc/0605014
dc.identifierhttp://arxiv.org/abs/gr-qc/0605014
dc.identifierClass.Quant.Grav.24:243-251,2007
dc.identifierdoi:10.1088/0264-9381/24/1/013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205959
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleQuantum geometry and microscopic black hole entropy
dc.typetext

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