Spinor field with induced nonlinearity in a Bianchi type-I Universe

TL;DR

This paper presents self-consistent solutions for spinor, scalar, and gravitational fields in a Bianchi type-I universe, exploring initial singularity, isotropization, and the effects of a cosmological constant on oscillations.

Contribution

It introduces a novel analysis of spinor and scalar fields in Bianchi type-I cosmology, including the impact of the cosmological constant on oscillatory behavior.

Findings

Cosmological constant induces oscillations in the BI model.

Initial singularity and isotropization are analyzed in the context of spinor and scalar fields.

Solutions demonstrate the role of $\

Abstract

Self-consistent solutions to the spinor, scalar and BI gravitational field equations are obtained. The problems of initial singularity and asymptotically isotropization process of the initially anisotropic space-time are studied. It is also shown that the introduction of the Cosmological constant ($\Lambda$-term) in the Lagrangian generates oscillations of the BI model, which is not the case in absence of $\Lambda$ term.