A Complete Model of Cosmological Evolution of a Scalar Field with Higgs Potential and Euclidean Cycles

Abstract

© 2020, Pleiades Publishing, Ltd. Abstract: A revision of the author’s results concerning the possible existence of the so-called Euclidean cycles in cosmological evolution of a system of Higgs scalar fields is being performed. The assumption of a nonnegative velocity of the Universe expansion, which in certain cases contradicts the complete set of the Einstein equations, is removed. It is shown that in the cases where the effective energy of the system tends to zero, happens a smooth transition of the model to the range of negative values of the expansion rate, i.e., there is a transition to a collapsing stage rather than winding of the phase trajectories on the boundary of prohibited area. This process is studied with the help of numerical simulation methods for a model based on a classical scalar Higgs field.