Abstract
Self-consistent system of nonlinear spinor field and Bianchi I (BI) gravitational one with time-dependent gravitational constant (G) and cosmological constant (Λ) has been studied. The initial and the asymptotic behaviors of the field functions and the metric one have been thoroughly investigated. Given Λ = Λ0/τ2, with [Formula: see text], G has been estimated as a function of τ. The role of perfect fluid at the initial state of expansion and asymptotical isotropization process of the initially anisotropic universe has been elucidated.
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