Exact solutions of the self-consistent system-of Einstein-Cartan-Vlasov equations in nonrelativistic and ultrarelativistic limits are obtained for a spinless collisionless gas. The investigation is performed for different irreducible parts of the torsion tensor and different values of the cosmological constant. It is shown that torsion creates a curvature type effect. The solution is singular for t = 0. It is shown that the asymptotic of the scale factor a(η) in the ultrarelativistic limit for the torsion expressed in terms of its trace can differ from the Friedman one.
Soviet Physics Journal