Abstract

The study of a self-consistent system of nonlinear spinor and Bianchi type I gravitational fields in the presence of a viscous fluid and a Λ term, with the spinor field nonlinearity being some arbitrary functions of the invariants I and J constructed from bilinear spinor forms S and P, generates a multi-parametric system of ordinary differential equations (Saha 2005 Rom. Rep. Phys. 57 7, Saha 2007 Preprint gr-qc/0703085 (Astrophys. Space Sci. at press)). A qualitative analysis of the system in question has been thoroughly carried out. A complete qualitative classification of the mode of the evolution of the universe given by the corresponding dynamic system has been illustrated.

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