Loop quantum cosmology and the k = - 1 RW model

dc.creatorVandersloot, Kevin
dc.date2006-12-12
dc.date2007-02-07
dc.date.accessioned2026-07-07T10:37:07Z
dc.date.available2026-07-07T10:37:07Z
dc.descriptionThe loop quantization of the negatively curved k=-1 RW model poses several technical challenges. We show that the issues can be overcome and a successful quantization is possible that extends the results of the k=0,+1 models in a natural fashion. We discuss the resulting dynamics and show that for a universe consisting of a massless scalar field, a bounce is predicted in the backward evolution in accordance with the results of the k=0,+1 models. We also show that the model predicts a vacuum repulsion in the high curvature regime that would lead to a bounce even for matter with vanishing energy density. We finally comment on the inverse volume modifications of loop quantum cosmology and show that, as in the k=0 model, the modifications depend sensitively on the introduction of a length scale which a priori is independent of the curvature scale or a matter energy scale.
dc.descriptionClarified some of the discussion and updated references
dc.identifierhttps://arxiv.org/abs/gr-qc/0612070
dc.identifierhttp://arxiv.org/abs/gr-qc/0612070
dc.identifierPhys.Rev.D75:023523,2007
dc.identifierdoi:10.1103/PhysRevD.75.023523
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180272
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleLoop quantum cosmology and the k = - 1 RW model
dc.typetext

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