Kulinich Y. Large-scale structure in the models of Universe with dark energy: the formation of dark matter spherical inhomogeneities

The thesis is devoted to the analysis of formation of large-scale structure of Universe in the framework of cosmological models with the Lambda-constant as well with the dark energy. The linear and non-linear stages are analysyzed of development of spherically-symmetrical density and space-time metrics perturbations in two-component model of Universe. The first component is the dust matter, representing the baryonic matter and cold dark matter, the second one is the dark energy with arbitrary given equation of state. The conditions of development of spherically-symmetrical inhomogeneity is described via critical parameters, the linear amplitude of perturbation collapsing at specific moment of time, delta_c, and the linear value of perturbation amplitude, which stops its development at specific moment of time, delta_ta, and the least magnitude of amplitude of perturbation, which has reached the moment of freezing, delta_min.The dependence of these values on cosmological parameters and red-shift is presented. The density of virialized perturbation Delta_c is computed for cosmological models with Lambda-constant, and models with dark energy as well. The problem is solved of quantative description of observed distribution of quasars over redshifts in cosmological models with Lambda-constant in the framework of Press–Schechter formalism.