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

2009/10/05 by Paschalis G. Paschali, Paschali, Paschalis G., Georgios C. Chrysostomou +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems #gr-qc #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0910.0810

12 pages

arxiv created 2009/10/05 · arxiv updated 2009/12/01

Abstract

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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