Inhomogeneous Cosmological Models Containing Homogeneous Inner Hypersurface Geometry. Changes of the Bianchi Type

Details Inhomogeneous Cosmological Models Containing Homogeneous Inner Hypersurface Geometry. Changes of the Bianchi Type Inhomogeneous Cosmological Models Containing Homogeneous Inner Hypersurface Geometry. Changes of the Bianchi Type

2001-05-28

arxiv.org/abs/gr-qc/0105104v1

Astron.Nachr.303:227-230,1982

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, LaTeX, 1 figure

Scientific paper

10.1002/asna.2103030403

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 trivial case of changing into type I there exist some possible changes between other types. However, physical reasons like energy inequalities partially exclude them.

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