Anisotropic cosmological models with spinor field and viscous fluid in presence of a ΛΛ term: qualitative solutions

preprint2007arXivOpen access

Abstract

The study of a self-consistent system of nonlinear spinor and Bianchi type I gravitational fields in presence of a viscous fluid and ΛΛ term with the spinor field nonlinearity being some arbitrary functions of the invariants II an JJ constructed from bilinear spinor forms SS and PP, generates a multi-parametric system of ordinary differential equations \cite{saharrp,grqcnlsp}. A qualitative analysis of the system in question has been thoroughly carried out. A complete qualitative classification of the mode of evolution of the universe given by the corresponding dynamic system has been illustrated.

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