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Self-similar Bianchi type VIII and IX models

Pantelis S. Apostolopoulos·Michael Tsamparlis
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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.

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Pantelis S. Apostolopoulos, Michael Tsamparlis. 2003-07-02. Self-similar Bianchi type VIII and IX models. https://doi.org/10.1023/a%3A1026203211197

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