Abstract

We study a complete cosmological model based on an asymmetric scalar doublet represented by the classical and phantom scalar Higgs fields. Moreover, we remove the assumption that the expansion rate of the Universe is nonnegative, which contradicts the complete system of Einstein’s equations in several cases. We formulate a closed system of dynamical equations describing the evolution of the cosmological model and study the dependence of the topology of the Einstein–Higgs hypersurface of the five-dimensional phase space of the dynamical system that determines the global properties of the cosmological model based on the fundamental constants of the model. We analyze the dynamical system of the corresponding cosmological model qualitatively, construct asymptotic phase trajectories, and present numerical modeling results illustrating various types of behavior of the cosmological model.

中文翻译：

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基于非对称标量希格斯双峰的完整宇宙学模型

摘要

我们研究了一个完整的宇宙学模型，该模型基于由经典和幻影标量希格斯场表示的非对称标量双峰。此外，我们删除了宇宙膨胀率为非负的假设，这在一些情况下与爱因斯坦方程的完整系统相矛盾。我们制定了一个封闭的动力学方程系统，描述了宇宙学模型的演化，并研究了动力学系统五维相空间的爱因斯坦-希格斯超曲面拓扑的依赖性，它决定了宇宙学模型的全局属性基于模型的基本常数。我们定性地分析相应宇宙学模型的动力系统，构建渐近相轨迹，