Nonlinear spinor field with Lyras geometry: Bianchi type-VI space-time

TL;DR

This paper explores how a nonlinear spinor field influences the evolution of the Universe within Bianchi type-VI space-time characterized by Lyras geometry, revealing complex interactions and constraints on the energy-momentum tensor.

Contribution

It introduces the analysis of nonlinear spinor fields in Bianchi type-VI space-time with Lyras geometry, highlighting the impact on energy-momentum tensor preservation and field invariants.

Findings

Energy-momentum tensor does not preserve in this setup

Lyras geometry alters the relationship between spinor invariants and space-time

Constraints from non-diagonal components affect the model's evolution

Abstract

In the context of a Bianchi type-VI space-time characterized by Lyras geometry, we investigate the influence of a nonlinear spinor field on the evolution of the Universe. Our previous research has examined the nonlinear spinor field within Bianchi diagonal models, revealing that the spinor field exhibits non-trivial non-diagonal components of the energy-momentum tensor. These components impose various constraints on both the space-time geometry and the spinor field itself. The incorporation of Lyras geometry into the framework does not alleviate these constraints; however, it alters the preservation of the energy-momentum tensor. Furthermore, this integration complicates the relationship between the invariants of the spinor field and the space-time, ultimately affecting the outcomes of our analysis. Moreover, in this case energy-momentum tensor does not preserve.