Essential Constants for Spatially Homogeneous Ricci-flat manifolds of dimension 4+1

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dc.creatorChristodoulakis, T.
dc.creatorHervik, S.
dc.creatorPapadopoulos, G. O.
dc.date2003-11-07
dc.date2004-01-26
dc.date.accessioned2026-07-07T10:48:14Z
dc.date.available2026-07-07T10:48:14Z
dc.descriptionThe present work considers (4+1)-dimensional spatially homogeneous vacuum cosmological models. Exact solutions -- some already existing in the literature, and others believed to be new -- are exhibited. Some of them are the most general for the corresponding Lie group with which each homogeneous slice is endowed, and some others are quite general. The characterization ``general'' is given based on the counting of the essential constants, the line-element of each model must contain; indeed, this is the basic contribution of the work. We give two different ways of calculating the number of essential constants for the simply transitive spatially homogeneous (4+1)-dimensional models. The first uses the initial value theorem; the second uses, through Peano's theorem, the so-called time-dependent automorphism inducing diffeomorphisms
dc.description26 Pages, 2 Tables, latex2e
dc.identifierhttps://arxiv.org/abs/gr-qc/0311025
dc.identifierhttp://arxiv.org/abs/gr-qc/0311025
dc.identifierJ.Phys.A37:4039-4058,2004
dc.identifierdoi:10.1088/0305-4470/37/13/008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183803
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleEssential Constants for Spatially Homogeneous Ricci-flat manifolds of dimension 4+1
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