The dynamics of scalar-field Quintom cosmological models

TL;DR

This paper provides a comprehensive dynamical systems analysis of Quintom cosmological models, revealing conditions for inflationary phases, bouncing behaviors, and stability against spatial curvature effects.

Contribution

It introduces a complete analysis of interacting quintessence and phantom fields, identifying parameter ranges for inflation and bouncing cosmologies, and studies linear perturbations.

Findings

Existence of parameter ranges for inflationary solutions.

Identification of bouncing cosmological solutions.

Stability of models against spatial curvature effects.

Abstract

We shall present a complete (compactified) dynamical systems analysis of the Quintom model comprised of an interacting quintessence scalar field and a phantom. We find a range for the model parameters $\kappa, \lambda$ such that there are expanding Quintom cosmologies that undergo two inflationary periods, and this behaviour is not destabilized by spatial curvature. We also discuss a class of bouncing cosmologies. Finally, the linear cosmological perturbations are studied.