Inhomogeneous cosmological models with homogeneous inner hypersurface geometry
نویسندگان
چکیده
منابع مشابه
Inhomogeneous cosmological models with homogeneous inner hypersurface geometry
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 ...
متن کاملul 1 99 5 Inhomogeneous cosmological models with homogeneous inner hypersurface geometry
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 ...
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متن کاملX iv : g r - qc / 0 10 51 04 v 1 2 8 M ay 2 00 1 Inhomogeneous Cosmological Models Containing Homogeneous Inner Hypersurface Geometry . Changes of the Bianchi Type
There are investigated such cosmological models which instead of the usual spatial homogeneity property only fulfil the condition that in a certain synchronized system of reference all spacelike sections t = const. are homogeneous manifolds. This allows time-dependent changes of the BIANCHI type. Discussing differential-geometrical theorems it is shown which of them are permitted. Besides the t...
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ژورنال
عنوان ژورنال: General Relativity and Gravitation
سال: 1995
ISSN: 0001-7701,1572-9532
DOI: 10.1007/bf02153317