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Invariant solutions of Liouville's equation in Robertson-Walker space-times |
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| Authors: | R Maartens S D Maharaj |
| Institution: | (1) Center for Nonlinear Studies and Department of Computational and Applied Mathematics, University of the Witwatersrand, P.O. Wits 2050, Johannesburg, South Africa;(2) Department of Mathematics and Applied Mathematics, University of Natal, King George V Avenue, 4001 Durban, South Africa |
| Abstract: | We find all solutions of Liouville's equation in Robertson-Walker space-times that are either spatially homogeneous or isotropic or both. Some of these solutions depend on constants of motion that are not generated by Killing vectors. We indicate how these solutions may be used to find Einstein-Liouville solutions. |
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