On Lie Point Symmetries of Einstein's equations for the Friedmann-Roberstson-Walker Cosmology

Details On Lie Point Symmetries of Einstein's equations for the Friedmann-Roberstson-Walker Cosmology On Lie Point Symmetries of Einstein's equations for the Friedmann-Roberstson-Walker Cosmology

2009-10-05

arxiv.org/abs/0910.0810v1

Physics

Mathematical Physics

12 pages

Scientific paper

We study the Lie point symmetries of Einstein's equations for the Friedmann-Roberstson-Walker Cosmology. They form either a two - dimensional or a three - dimensional solvable group depending on the form of the self interacting potential. Using the invariants of the group we reduce the second order system of differential equations into a first order system. Writing the action in terms of the proper time we study the point symmetries and the variational symmetries of the resulting equations.

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