The Isotropy of Compact Universes

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dc.creatorBarrow, John D.
dc.creatorKodama, Hideo
dc.date2000-12-20
dc.date2001-03-28
dc.date.accessioned2026-07-07T10:51:46Z
dc.date.available2026-07-07T10:51:46Z
dc.descriptionWe discuss the problem of the stability of the isotropy of the universe in the space of ever-expanding spatially homogeneous universes with a compact spatial topology. The anisotropic modes which prevent isotropy being asymptotically stable in Bianchi-type $VII_h$ universes with non-compact topologies are excluded by topological compactness. Bianchi type $V$ and type $VII_h$ universes with compact topologies must be exactly isotropic. In the flat case we calculate the dynamical degrees of freedom of Bianchi-type $I$ and $VII_0$ universes with compact 3-spaces and show that type $VII_0$ solutions are more general than type $I$ solutions for systems with perfect fluid, although the type $I$ models are more general than type $VII_0$ in the vacuum case. For particular topologies the 4-velocity of any perfect fluid is required to be non-tilted. Various consequences for the problems of the isotropy, homogeneity, and flatness of the universe are discussed.
dc.description22 pages in LaTeX2e with the amsmath package
dc.identifierhttps://arxiv.org/abs/gr-qc/0012075
dc.identifierhttp://arxiv.org/abs/gr-qc/0012075
dc.identifierClass.Quant.Grav.18:1753-1766,2001
dc.identifierdoi:10.1088/0264-9381/18/9/310
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184935
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.titleThe Isotropy of Compact Universes
dc.typetext

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