高维 Klein-Gordon-Rastall 理论的一些宇宙学推论
Some Cosmological Consequences of Higher Dimensional Klein-Gordon-Rastall Theory
AI总结：
本文利用动力系统分析研究了高维 Klein-Gordon-Rastall 理论的宇宙学推论，发现该模型不仅能产生幂律暴胀，还能通过标量场与非守恒物质场的相互作用解释暗能量，是描述早期与晚期宇宙的有力候选者。
摘要：
利用动力系统分析，我们研究了在更高维度下开启指数标量势的 Rastall 引力与标量场耦合（称为 Klein-Gordon-Rastall 理论）的一些宇宙学推论。从自治方程的临界点出发，我们可以确定不同宇宙时期能量密度的主导成分。我们获得了一个代表标量场-物质主导时期的不动点，根据所使用的参数，它对应于晚期或过去吸引子。根据该点，对应于过去吸引子的暴胀阶段由不稳定结点给出，而对应于晚期吸引子的暗能量时期则由稳定结点表示。在暴胀部分，幂律暴胀仍能在此 Klein-Gordon-Rastall 宇宙学模型中发生。另一方面，在晚期部分，我们发现具有指数势的标量场与弯曲时空中非相对论性物质场（重子-暗物质）的非守恒能量-动量张量之间的非平凡相互作用扮演了暗能量的角色。基于这些特征，Klein-Gordon-Rastall 宇宙学可能是描述早期和晚期宇宙的一个有希望的候选者。
英文摘要：
Using dynamical system analysis, we investigate some cosmological consequences of Rastall gravity coupled to a scalar field (called the Klein-Gordon-Rastall theory) with exponential scalar potential turned on in higher dimensions. From the critical points of the autonomous equations, we can determine the dominant components of the energy density in different cosmic eras. We obtain a fixed point representing a scalar field-matter-dominated era which corresponds to either a late-time or past-time attractor depending on the parameters used. According to this point, the inflationary phase, corresponding to past-time attractors, is given by unstable nodes, whilst the dark energy era, corresponding to late-time attractors, is represented by stable nodes. In the inflationary sector, power-law inflation can still occur in this Klein-Gordon-Rastall cosmological model. On the other hand, in the late-time sector, we find a nontrivial interplay between a scalar field with an exponential potential and the non-conservative energy-momentum tensor of the non-relativistic matter field (baryonic-dark matter) in curved spacetime plays a role as the dark energy. Based on such features, the Klein-Gordon-Rastall cosmology could be a promising candidate for describing both the early and late-time universe.
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