Hydrodynamic self-similar cosmological models

preprint2021arXivOpen access

Abstract

Hydrodynamic self-similar solutions, as obtained by Chi [J. Math. Phys. 24, 2532 (1983)] have been generalized by introducing new variables in place of the old space and time variables. A systematic procedure of obtaining a complete set of solutions has been suggested. The Newtonian analogs of all homogeneous isotropic Friedmann dust universes with spatial curvature k=0,±1k = 0, \pm 1 have been given.

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