Inhomogeneous Cosmological Models with Homogeneous Inner Hypersurface Geometry
General Relativity and Quantum Cosmology
2009-10-28 v1 dg-ga
Differential Geometry
Abstract
Space-times 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 3-dimensional oriented homogeneous Riemannian manifolds; locally isometric manifolds are considered as same.
Keywords
Cite
@article{arxiv.gr-qc/9507013,
title = {Inhomogeneous Cosmological Models with Homogeneous Inner Hypersurface Geometry},
author = {M. Rainer and H. -J. Schmidt},
journal= {arXiv preprint arXiv:gr-qc/9507013},
year = {2009}
}
Comments
28 pages, Latex