Loop quantum cosmology of k=1 FRW models

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dc.creatorAshtekar, Abhay
dc.creatorPawlowski, Tomasz
dc.creatorSingh, Parampreet
dc.creatorVandersloot, Kevin
dc.date2006-12-18
dc.date2007-01-23
dc.date.accessioned2026-07-07T10:22:03Z
dc.date.available2026-07-07T10:22:03Z
dc.descriptionThe closed, k=1, FRW model coupled to a massless scalar field is investigated in the framework of loop quantum cosmology using analytical and numerical methods. As in the k=0 case, the scalar field can be again used as emergent time to construct the physical Hilbert space and introduce Dirac observables. The resulting framework is then used to address a major challenge of quantum cosmology: resolving the big-bang singularity while retaining agreement with general relativity at large scales. It is shown that the framework fulfills this task. In particular, for states which are semi-classical at some late time, the big-bang is replaced by a quantum bounce and a recollapse occurs at the value of the scale factor predicted by classical general relativity. Thus, the `difficulties' pointed out by Green and Unruh in the k=1 case do not arise in a more systematic treatment. As in k=0 models, quantum dynamics is deterministic across the deep Planck regime. However, because it also retains the classical recollapse, in contrast to the k=0 case one is now led to a cyclic model. Finally, we clarify some issues raised by Laguna's recent work addressed to computational physicists.
dc.descriptionTypos corrected. To appear in Physical Review D
dc.identifierhttps://arxiv.org/abs/gr-qc/0612104
dc.identifierhttp://arxiv.org/abs/gr-qc/0612104
dc.identifierPhys.Rev.D75:024035,2007
dc.identifierdoi:10.1103/PhysRevD.75.024035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/175384
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleLoop quantum cosmology of k=1 FRW models
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