Letter: Self-Similar Bianchi Type VIII and IX Models |
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| Authors: | Pantelis S. Apostolopoulos Michael Tsamparlis |
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| Affiliation: | (1) Department of Physics, Section of Astrophysics-Astronomy-Mechanics, University of Athens, Panepistemiopolis, Athens, 157 83, Greece |
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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 admits a four dimensional group of homotheties is given. |
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| Keywords: | Bianchi models fluid cosmological models self-similarity |
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