Cosmological models based on asymmetric scalar doublet with kinetic coupling of components

A detailed qualitative analysis and numerical modeling of the evolution of cosmological models based on an asymmetric doublet of classical and phantom scalar Higgs fields with a kinetic coupling between the components were carried out. 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 is 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 the 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 the 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 birth 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 birth of the required number of massive scalarly charged fermions.