Cosmological models based on an asymmetric scalar doublet with kinetic coupling of components. II. Numerical modeling

TL;DR

This paper numerically investigates various cosmological models based on an asymmetric scalar doublet with kinetic coupling, revealing diverse behaviors near singularities and the Big Rip, and exploring scalar field generation of fermions.

Contribution

It introduces a detailed numerical analysis of asymmetric scalar doublet cosmologies with kinetic interaction, identifying different evolution scenarios and scalar field generation mechanisms.

Findings

Models exhibit infinite and finite inflationary phases.

Near singularities, the barotropic coefficient approaches unity.

Scalar fields can generate fermions near rebound points.

Abstract

Numerical modeling of a mathematical model of the cosmological evolution of an asymmetric scalar doublet with kinetic interaction between the components was carried out. A wide range of values of fundamental parameters and initial conditions of the model are considered. Various types of behavior have been identified: models with an infinite inflationary past and future - with and without a rebound point, models with a finite past and infinite future, with an infinite past and finite future (Big Rip), as well as models with a finite past and future. Based on numerical analysis, the behavior of models near the initial singularity and the Big Rip is studied; it is shown that in both cases the barotropic coefficient tends to unity, which corresponds to an extremely rigid state of matter near singularities. A numerical example of the cosmological generation of the classical component of a scalar doublet by its phantom component is given. An assessment was made of the creation of the velocity of fermion pairs by a scalar field near the rebound points and it was shown that a scalar field at the cold stage of the Universe can ensure the creation of the required number of massive scalarly charged fermions. Keywords: cosmological model, phantom and classical scalar fields, quality analysis, asymptotic behavior, numerical modelling, scalar field generation, types of behavior.