Dynamics of the Bianchi I model with non-minimally coupled scalar field near the singularity

TL;DR

This paper investigates how non-minimal coupling between a scalar field and curvature influences the dynamics of the Bianchi I cosmological model, revealing new singularities and effects on anisotropy evolution.

Contribution

It introduces a dynamical systems analysis of the Bianchi I model with non-minimal coupling, highlighting new singularities and anisotropy behavior not present in minimally coupled models.

Findings

Non-minimal coupling alters the evolution compared to minimal coupling.

A new type of singularity dominated by the non-minimal coupling is identified.

Existence of a minimal anisotropy value in the generic case.

Abstract

Dynamical systems methods are used to study the evolution of the Bianchi I model with a scalar field. We show that inclusion of the non-minimal coupling term between the scalar field and the curvature changes evolution of the model compared with the minimally coupled case. In the model with the non-minimally coupled scalar field there is a new type of singularity dominated by the non-minimal coupling term. We examine the impact of the non-minimal coupling on the anisotropy evolution and demonstrate the existence of its minimal value in the generic case.