Nonlinear Spinor field in isotropic space-time and dark energy models

TL;DR

This paper investigates the role of nonlinear spinor fields in isotropic FRW cosmological models, showing they do not impose extra restrictions and can effectively describe different matter types in universe evolution.

Contribution

It demonstrates that nonlinear spinor fields in isotropic models lack non-diagonal energy-momentum components, unlike anisotropic models, and provides a spinor-based description of various cosmic matter sources.

Findings

Spinor fields do not have nontrivial non-diagonal energy-momentum components in isotropic models.

Spinor description effectively models different matter types in universe evolution.

The approach is useful within a three-fluid system framework.

Abstract

Within the scope of isotropic FRW cosmological model the role of nonlinear spinor field in the evolution of the Universe is studied. It is found that unlike in anisotropic cosmological models in the present case the spinor field does not possess nontrivial non-diagonal components of energy-momentum tensor, consequently does not impose any additional restrictions on the components of the spinor field or metric function. The spinor description of different matter was given and evolution of the Universe corresponding to these sources is illustrated. In the framework of a three fluid system the utility of spinor description of matter is established.