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Cosmological Models with Weakly Turbulent Fluctuations of the Metric Superimposed on a Homogeneous and Isotropic Background Metric.
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Uniform and isotropic mathematical models of the expanding universe usually predict an initial singularity of infinite mass density and space curvature. To study possible mechanisms which would avoid the occurance of these singularities, non-uniform cosmological models based on Einsteins field equations are investigated in which random perturbations of long wave lengths are superimposed on the Robinson-Walker metric of the unperturbed models. Techniques of fluid turbulence theory, used to describe random fields by a hierarchy of central moments of the random perturbations, are applied to describe the dynamics of these moments. For the case of small perturbations the hierarchy is truncated and solutions are found. Author
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