Compact Homogeneous Universes

Details Compact Homogeneous Universes Compact Homogeneous Universes

1994-05-23

arxiv.org/abs/gr-qc/9405052v2

J.Math.Phys. 35 (1994) 4855-4888

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

50 pages with 3 tables (assembly of 3 LaTeX files), TIT/HEP-208/COSMO-26

Scientific paper

A thorough classification of the topologies of compact homogeneous universes is given except for the hyperbolic spaces, and their global degrees of freedom are completely worked out. To obtain compact universes, spatial points are identified by discrete subgroups of the isometry group of the generalized Thurston geometries, which are related to the Bianchi and the Kantowski-Sachs-Nariai universes. Corresponding to this procedure their total degrees of freedom are shown to be categorised into those of the universal covering space and the Teichm\"uller parameters. The former are given by constructing homogeneous metrics on simply connected manifold. The Teichm\"uller spaces are also given by explicitly constructing expressions for the discrete subgroups of the isometry group.

Affiliated with

Also associated with

No associations

Rating

Compact Homogeneous Universes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Compact Homogeneous Universes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Compact Homogeneous Universes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-494252