A qualitative and numerical analysis of cosmological models based on assymetric scalar doublet: classical + phantom scalar field. I. A case of minimally interacting scalar fields: the qualitative analysis

TL;DR

This paper analyzes cosmological models with an asymmetric scalar doublet, including classical and phantom scalar fields, revealing how weak phantom fields significantly alter the models' dynamics through qualitative and numerical methods.

Contribution

It introduces a detailed qualitative and numerical analysis of minimally interacting asymmetric scalar doublet models, highlighting the impact of phantom fields on cosmological dynamics.

Findings

9 singular points identified in the model

2 singular points are attractive, others are saddle points

Weak phantom fields significantly change the model's behavior

Abstract

The paper provides a qualitative and numerical analysis-based investigation of cosmological models founded on an asymmetrical scalar doublet comprising of a classical and a phantom scalar fields. Presence of a phantom scalar field allows one to consider also classical scalar fields with attraction of like-charged particles which significantly extends a diversity of cosmological models' behaviours. It is shown that a cosmological model based on an asymmetric scalar doublet in the case of minimal interaction has 9 singular points 2 of which are attractive and the rest are non-stable saddle ones. It is also shown that a presence of even essentially weak phantom field significantly changes the dynamics of a cosmological model.