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.

中文翻译：

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具有希格斯势和欧几里得周期的标量场的宇宙学演化的完整模型

摘要

正在对有关希格斯标量场系统的宇宙演化中可能存在的所谓欧几里得循环的作者结果进行修订。删除了宇宙膨胀的非负速度的假设，该假设在某些情况下与爱因斯坦方程的完整集矛盾。结果表明，在系统的有效能量趋于零的情况下，模型会平稳过渡到膨胀率负值的范围，即过渡到收缩阶段而不是收缩。禁区边界上的相位轨迹。借助数值模拟方法对基于经典标量希格斯场的模型进行了研究。