Physics, mathematics, and technology

2018 Issue №1

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The dynamics of chiral cosmological fields in the canonical phantom model



The latest results of space and ground-based mission WMAP, Planck, BICEP2 discussed widely by the scientific community and indicate the need for research on new models of inflation, other than the basic model of inflation, based on a single self-interacting scalar field. In this paper we consider the inflationary model based on chiral cosmological model, which takes into account the various forms of kinetic interaction between the phantom and the canonical field. This study determines the dynamics and interaction of the fields in the short time at the stage of early inflation, when the potential fields of cooperation remains constant (as seen in the model of the "new" inflation). We present a general algorithm for solving dynamic equations on chiral (scalar) fields and examine special cases when it is possible to find a solution in elementary functions.


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