Complete Model of Cosmological Evolution of a Classical Scalar Field with the Higgs Potential. I. Analysis of the Model

Abstract

A complete model of cosmological evolution of a classical scalar field with the Higgs potential is studied and simulated on a computer without assumption that the Hubble constant is nonnegative. The corresponding dynamical system is qualitatively analyzed and the Einstein–Higgs hypersurfaces the topology of which determines the global properties of the phase trajectories of the cosmological model are classified.