arXiv subjects
Publications and source records attributed to D. Yu. Ignat'ev.
Based on the macroscopic equations of cosmological evolution obtained earlier by the Author, a closed system of macroscopic Einstein equations in the short-wave approximation for perturbations of the scalar Higgs and gravitational fields has been obtained and examined. The obtained exact solutions of macroscopic equations are determined by three microscopic parameters, depending on the spectrum of perturbations.
The revision of the Author's results with respect to possibility of existence of the so-called Euclidian cycles in cosmological evolution of a system of Higgs scalar fields has been performed. The assumption of non-negativity of the Universe's extension velocity, which contradicts in certain cases to complete system of Einstein equations, has been removed. It has been shown that in cases when effective energy of the system tends to zero, a smooth transition of the model to the range of negative values of the extension velocity occurs, i.e. it occurs the transition to collapse stage rather than winding of the phase trajectories on the boundary of prohibited area. This process has been researched with a help of numerical simulation methods for the model based on classical scalar Higgs field.