Dirac Spinor in Bianchi-I Universe with Time Dependent Gravitational and Cosmological Constants

Abstract

Self-consistent system of nonlinear spinor field and Bianchi I (BI) gravitational one with time dependent gravitational constant ($G$) and cosmological constant ($\Lambda$) has been studied. The initial and the asymptotic behaviors of the field functions and the metric one have been thoroughly investigated. Given $\Lambda ={\Lambda }_0/{\tau }^2$, with $\tau =\sqrt{-g}$, $G$ has been estimated as a function of $\tau$. The role of perfect fluid at the initial state of expansion and asymptotical isotropization process of the initailly anisotropic universe has been elucidated.

7 pages, RevTex

References in corpus (2)

• Interacting Spinor and Scalar Fields in Bianchi type-I Universe filled with Perfect Fluid: Exact Self-consistent Solutions
• Nonlinear Spinor Field in Bianchi type-I Universe filled with Perfect Fluid: Exact Self-consistent Solutions

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