Self-similar Bianchi type VIII and IX models
arXiv:gr-qc/0305017 · doi:10.1023/A:1026203211197
Abstract
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.
5 pages, Latex; One reference and minor clarifications added. To appear in General Relativity and Gravitation
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