Relativistic cosmologies with closed, locally homogeneous spatial sections
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American Physical Society (APS)
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The homogeneous Bianchi and Kantowski-Sachs metrics of relativistic cosmology are investigated through their correspondence with recent geometrical results of Thurston. These allow a partial classification of the topologies for closed, locally homogeneous spaces according to Thurston's eight geometric types. Besides, we learn which of the Bianchi-Kantowski-Sachs metrics can be imposed on closed spatial sections of cosmological models. This is seen as progress toward implementation of a postulate of the closure of space for both classical and quantum gravity. © 1985 The American Physical Society.
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Physical Review Letters, v. 54, n. 11, p. 1200-1202, 1985.
