Quintom phase-space: beyond the exponential potential

TL;DR

This paper analyzes the phase-space dynamics of the quintom dark energy model with arbitrary potentials, identifying conditions for late-time attractors and stability of de Sitter solutions using Center Manifold Theory.

Contribution

It extends previous work by deriving general conditions for phantom dominance and stability in quintom models with arbitrary potentials.

Findings

Phantom dominated solutions can be late-time attractors under certain conditions.

De Sitter solutions may be unstable depending on potential parameters.

General conditions for stability and attractor behavior are established.

Abstract

We investigate the phase-space structure of the quintom dark energy paradigm in the framework of spatially flat and homogeneous universe. Considering arbitrary decoupled potentials, we find certain general conditions under which the phantom dominated solution is late time attractor, generalizing previous results found for the case of exponential potential. Center Manifold Theory is employed to obtain sufficient conditions for the instability of de Sitter solution either with phantom or quintessence potential dominance.