Closed spaces in cosmology

Details Closed spaces in cosmology Closed spaces in cosmology

Feb 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992gregr..24..199f&link_type=abstract

General Relativity and Gravitation, Volume 24, Issue 2, pp.199-217

Computer Science

25

Scientific paper

This paper deals with two aspects of relativistic cosmologies with closed spatial sections. These spacetimes are based on the theory of general relativity, and admit a foliation into space sectionsS(t), which are spacelike hypersurfaces satisfying the postulate of the closure of space: eachS(t) is a three-dimensional closed Riemannian manifold. The topics discussed are: (i) a comparison, previously obtained, between Thurston geometries and Bianchi-Kantowski-Sachs metrics for such three-manifolds is here clarified and developed; and (ii) the implications of global inhomogeneity for locally homogeneous three-spaces of constant curvature are analyzed from an observational viewpoint.

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