Dynamical study of the singularities of gravity in the presence of non-minimally coupled scalar fields

TL;DR

This paper analyzes the dynamics of Einstein equations near specific cosmological singularities in models with non-minimally coupled scalar fields, revealing their inherent instability and general dynamical inevitability.

Contribution

It provides a detailed dynamical analysis of singularities in anisotropic, homogeneous cosmological models with general scalar field couplings, extending previous isotropic results.

Findings

Both types of singularities are dynamically unavoidable.

Singularities are generally unstable in these models.

Results extend understanding beyond conformal coupling cases.

Abstract

We investigate the dynamics of Einstein equations in the vicinity of the two recently described types of singularity of anisotropic and homogeneous cosmological models described by the action $$ S=\int d^4x \sqrt{-g}{F(\phi)R - \partial_a\phi\partial^a\phi -2V(\phi)}, $$ with general $F(\phi)$ and $V(\phi)$. The dynamical nature of each singularity is elucidated, and we show that both are, in general, dynamically unavoidable, reinforcing the unstable character of previous isotropic and homogeneous cosmological results obtained for the conformal coupling case.