Self-similar Bianchi type VIII and IX models

Details Self-similar Bianchi type VIII and IX models Self-similar Bianchi type VIII and IX models

2003-05-04

arxiv.org/abs/gr-qc/0305017v2

Gen.Rel.Grav. 35 (2003) 2051-2056

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, Latex; One reference and minor clarifications added. To appear in General Relativity and Gravitation

Scientific paper

It is shown that in transitively self-similar spatially homogeneous tilted perfect fluid models the symmetry vector is not normal to the surfaces of spatial homogeneity. A direct consequence of this result is that there are no self-similar Bianchi VIII and IX tilted perfect fluid models. Furthermore the most general Bianchi VIII and IX spacetime which admit a four dimensional group of homotheties is given.

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