Inhomogeneous cosmological models with homogeneous inner hypersurface geometry
Abstract
Spacetimes which allow a slicing into homogeneous spatial hypersurfaces generalize the usual Bianchi models. One knows already that in these models the Bianchi type may change with time. Here we show which of the changes really appear. To this end we characterize the topological space whose points are the 3dimensional oriented homogeneous Riemannian manifolds; locally isometric manifolds are considered as identical.
 Publication:

General Relativity and Gravitation
 Pub Date:
 December 1995
 DOI:
 10.1007/BF02153317
 arXiv:
 arXiv:grqc/9507013
 Bibcode:
 1995GReGr..27.1265R
 Keywords:

 General Relativity and Quantum Cosmology;
 Mathematics  Differential Geometry
 EPrint:
 28 pages, Latex