Relativistic cosmologies with closed, locally homogeneous spatial sections

Details Relativistic cosmologies with closed, locally homogeneous spatial sections Relativistic cosmologies with closed, locally homogeneous spatial sections

Mar 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvl..54.1200f&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 54, March 18, 1985, p. 1200-1202. Research supported by the Financiadora de Estud

Mathematics

Logic

20

Cosmology, Gravitation Theory, Metric Space, Relativistic Theory, Astronomical Models, Einstein Equations, Homogeneity, Riemann Manifold

Scientific paper

The homogeneous Bianchi and Kantowski-Sachs metrics of relativistic cosmology are investigated through their correspondence with the geometrical results of Thurston (1982) and Thurston et al. (1984). These allow a partial classification of the topologies for closed locally-homogeneous spaces according to Thurston's eight geometric types. Besides, the Bianchi-Kantowski-Sachs metrics which can be imposed on closed spatial sections of cosmological models are identified. This is seen as progress toward implementation of a postulate of the closure of space for both classical and quantum gravity.

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