Constructing dark energy models with late time de Sitter attractor

TL;DR

This paper presents a method to construct dark energy models with late-time de Sitter attractors, ensuring they match current observational features like $w=-1$ and $\,Omega_{\phi}=1$, using conditions on scalar field potentials.

Contribution

It introduces a simple sufficient condition on scalar field potentials for the existence of late-time de Sitter attractors in dark energy models.

Findings

Scalar and Born-Infeld scalar models can have late-time de Sitter attractors.

Conditions involve non-vanishing minima or maxima of potentials.

Attractors correspond to $w=-1$ and $\,Omega_{\phi}=1$.

Abstract

In this paper, we describe a way to construct a class of dark energy models that admit late time de Sitter attractor solution. In the canonical scalar and Born-Infeld scalar dark energy models, we show mathematically that a simple sufficient condition for the existence of a late time de Sitter like attractor solution is that the potentials of the scalar field have non-vanishing minimum while this condition becomes that the potentials have non-vanishing maximum for the phantom models. These attractor solutions correspond to an equation of state $w=-1$ and a cosmic density parameter $\Omega_{\phi}=1$, which are important features for a dark energy model that can meet the current observations.