Spinor Field with Polynomial Nonlinearity in LRS Bianchi type-I spacetime

TL;DR

This paper investigates how a polynomial nonlinear spinor field influences the evolution of the universe in a Bianchi type-I cosmological model, revealing conditions for accelerated or oscillatory expansion.

Contribution

It introduces a polynomial nonlinear spinor field in Bianchi type-I spacetime, showing its impact on cosmic evolution and the significance of the self-coupling constant.

Findings

Model exhibits accelerated expansion or oscillation depending on coupling sign

Neither mass nor nonlinear terms vanish in this specific setup

Spinor field significantly affects universe dynamics in Bianchi I model

Abstract

Within the scope of Bianchi type-I cosmological model the role of spinor field on the evolution of the Universe is investigated. In doing so we have considered a polynomial type of nonlinearity. It is found that depending on the sign of self-coupling constant the model allows either accelerated mode of expansion or oscillatory mode of evolution. Unlike general Bianchi type-I and Bianchi type $VI_0$ models in this case neither mass term nor the nonlinear term in the Lagrangian of spinor field vanish.