Cosmological Structures and Wave Solutions of the Non-Stationary Vlasov–Poisson Equation

The work is devoted to the study of the methodology for analyzing low-dimensional cosmological structures using the invariant properties of the Vlasov–Poisson system of equations. It is shown that the energy substitution in the Vlasov equation leads to a class of undamped and damped wave oscillations of the van Kampen, Landau and Bernstein type, internally related to each other. These waves in space have very universal properties, in many ways identical to those considered in plasma theory. Large-scale astrophysical systems can be considered as consequences of the implementation of density waves, and since their density is anisotropic, this can affect the measurement of various astronomical constants, including the Hubble parameter.