Model of the Newtonian cosmology: Symmetries, invariant and partialy invariant solutions / I. Klebanova,c, , O. Startsuna, S. Ivanovb

Abstract

Symmetry group of the equation system of ideal nonrelativistic self-gravitating fluid with zero pressure is calculated. Submodel invariant under the sub-group of rotations SO(3) is built and symmetry group of the factorsystem is calculated. A particular analytical invariant solution of the factorsystem is obtained.