Relativistic cosmologies with closed, locally homogeneous spatial sections
Journal Article
·
· Phys. Rev. Lett.; (United States)
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.
- Research Organization:
- Instituto de Fisica Teorica, 01405 So Paulo, SP, Brazil
- OSTI ID:
- 5760370
- Journal Information:
- Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 54:11; ISSN PRLTA
- Country of Publication:
- United States
- Language:
- English
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