The nearly flat universe

dc.creatorAdler, R. J.
dc.creatorOverduin, J. M.
dc.date2005-01-20
dc.date.accessioned2026-07-07T11:30:08Z
dc.date.available2026-07-07T11:30:08Z
dc.descriptionWe study here what it means for the Universe to be nearly flat, as opposed to exactly flat. We give three definitions of nearly flat, based on density, geometry and dynamics; all three definitions are equivalent and depend on a single constant flatness parameter epsilon that quantifies the notion of nearly flat. Observations can only place an upper limit on epsilon, and always allow the possibility that the Universe is infinite with k=-1 or finite with k=1. We use current observational data to obtain a numerical upper limit on the flatness parameter and discuss its implications, in particular the "naturalness" of the nearly flat Universe.
dc.description14 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/gr-qc/0501061
dc.identifierhttp://arxiv.org/abs/gr-qc/0501061
dc.identifierGen.Rel.Grav.37:1491-1503,2005
dc.identifierdoi:10.1007/s10714-005-0189-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196928
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe nearly flat universe
dc.typetext

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