The chaotic universe, Friedmannian on the average. I

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Big Bang Cosmology, Chemical Evolution, Einstein Equations, Perturbation Theory, Relativity, Universe, Abundance, Approximation, Black Body Radiation, Chaos, Gravity Waves, Linear Equations, Statistical Analysis, Turbulence Effects, Wave Equations

Scientific paper

Equations for the correlation functions are obtained which describe the statistically chaotic model with fluctuations of arbitrary amplitude. In the approximation of delta-correlated fluctuations and amplitude much less than 1, the infinite set of coupled equations for the correlators closes and gives a self-consistent description of the inverse influence of the vortical and potential perturbations and gravitational waves with random initial phases on the Friedmann expansion of the universe. In addition, constraints on the degree of the chaos (the spectrum characteristics) of the universe by the time of nucleosynthesis are obtained; the degree of chaos is related to the observed helium abundance.

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