Stationary Points of Scalar Fields Coupled to Gravity

TL;DR

This paper explores how scalar fields with non-canonical kinetic terms coupled to gravity can have stationary points acting as attractors, potentially explaining dark energy in the universe.

Contribution

It introduces the concept of stationary points in scalar fields with non-canonical kinetic terms as attractors, linking them to dark energy.

Findings

Singular points act as attractors for classical solutions

Stationary field values can be far from potential minima

Possible explanation for dark energy density

Abstract

We investigate the dynamics of gravity coupled to a scalar field using a non-canonical form of the kinetic term. It is shown that its singular point represents an attractor for classical solutions and the stationary value of the field may occur distant from the minimum of the potential. In this paper properties of universes with such stationary states are considered. We reveal that such state can be responsible for modern dark energy density.