标题： 相空间中的标量场宇宙学 显示英文标题

标题： Scalar field cosmology in phase space

摘要： 使用动力系统方法，我们描述了在广义相对论框架下，一个最小耦合标量场和弗里德曼-勒梅特-罗伯逊-沃尔克宇宙的演化，这与暴胀和晚期五次要素时期相关。 专注于空间平坦的情况，我们研究了相空间的几何结构，定位了系统的平衡点（标量场恒定的德西特空间），通过三阶微扰分析和李雅普诺夫函数研究了它们的稳定性，并讨论了晚期渐近行为。 由于我们没有指定标量场的起源或其势能，结果与高能模型无关。 显示英文摘要

摘要： Using dynamical systems methods, we describe the evolution of a minimally coupled scalar field and a Friedmann-Lemaitre-Robertson-Walker universe in the context of general relativity, which is relevant for inflation and late-time quintessence eras. Focussing on the spatially flat case, we examine the geometrical structure of the phase space, locate the equilibrium points of the system (de Sitter spaces with a constant scalar field), study their stability through both a third-order perturbation analysis and Lyapunov functions, and discuss the late-time asymptotics. As we do not specify the scalar field's origin or its potential, the results are independent of the high-energy model.