Models of dynamics of dust-like matter in its own gravitational field

The models of the dynamics of a dust medium with zero pressure in its own gravitational field. Solutions are based on the method of hydrodynamic substitutions, which is a variant of the method of functional substitutions, similar to Cole-Hopf substitution. The problem is solved for the different types of spatial symmetry of the distribution parameters of the medium - density, the gravitational potential and the flow rate. Specific examples of solutions. The examples of the cosmological models of the dynamics.