Evolution of irregularities in a chaotic early universe

First the model of a dust-like universe in the anti-Newtonian approximation is derived, which describes the transition from an inhomogeneous universe to the Friedmann universe. Secondly in the post-anti-Newtonian approximation the perturbations to the anti-Newtonian model are treated for the radiation-dominated and dust-like cases, and it is shown that, if the linear dimension of irregularities is comparable with the radius of spatial curvature within them, the perturbations grow so that non-linearity plays a dominant role. Lastly a one-dimensional model for the anisotropic collapse to be followed after the above stage is derived and the energy release due to the shock-wave dissipation of the kinetic energy in this collapse is estimated. (auth.)