Reparameterization invariants for anisotropic Friedmann-Robertson-Walker Cosmology with a massless scalar source

Physics

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Scientific paper

The general solutions to Einstein's equations using the anisotropic Robertson-Walker metric with a massless scalar source field are obtained. Then the solutions are reparameterized using the massless scalar source field as the intrinsic time in order to construct reparameterization phase space invariants. Finally, the invariance is explicitly demonstrated by computing infinitesimal variations engendered by the phase space generators of the diffeomorphism-induced symmetry group.

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