A chaotic universe, Friedman in the mean. I - Statistical equations

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Astronomical Models, Big Bang Cosmology, Einstein Equations, Statistical Mechanics, Universe, Abundance, Approximation, Equations Of State, Perturbation Theory, Relativity, Statistical Correlation, Stochastic Processes

Scientific paper

The evolution of a chaotic universe that admits a statistical description is analyzed. The universe is assumed to be homogeneous and isotropic only on scales much larger than the scale of averaging. Exact statistical equations are derived from the Einstein equations, and equations are obtained for a Friedmann-mean universe in the quasi-linear approximation. The latter are solved for an arbitrary equation of state.

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