Non-Stochastic Mechanism of the Cosmological Structures Formation

Fimin NN

Published on: 2023-09-26

Abstract

The criteria for the formation of non–stationary pseudoperiodic structures in a system of gravitating particles, described by the system of Vlasov–Poisson equations, are obtained. The obtained dispersion relations for the Vlasov equation demonstrate that in the vicinity of the singular point of the modified Newton gravitational potential there exists the possibility of the origin of large structures such as planes and filaments. These structures are coherent complex states of relative equilibria in non–stationary systems of gravitating particles. Explicit forms of solutions for the gravitational potential in a quasi-stationary cosmological system are obtained, describing voids and local density concentrations.