Exact inhomogeneous Einstein-Liouville solutions in Robertson-Walker space-times

Physics

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Cosmology:General Relativity, General Relativity, General Relativity:Cosmology

Scientific paper

We give the general solution of Liouville's equation in Robertson-Walker space-times, and use this to find exact inhomogeneous Einstein-Liouville solutions, using the covariant harmonic method of Ellis, Matravers and Treciokas [1]. The average four-velocity of the gas is tilted, and the gas has nonzero acceleration, shear, energy flux, and anisotropic stress.

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