Cosmological Models Based on an Asymmetric Scalar Doublet with Kinetic Coupling of Components. II. Numerical Modeling

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 the 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 has been shown that a scalar field at the cold stage of the Universe can ensure creation of the required number of massive scalarly charged fermions.