论文标题
立方galileon的全球渐近动力学与暗物质相互作用
Global asymptotic dynamics of the cubic galileon interacting with dark matter
论文作者
论文摘要
在本文中,我们对非最少耦合到暗物质的Cutic Galileon模型进行了彻底的动态系统分析。考虑了三个众所周知的相互作用模型类别,即深色组件之间的能量交换是暗能质密度和暗能量密度的函数:$ q_1 =3αHρ_m$,$ q_2 =3βρ_m\ dot \ dotϕ $和$ q_3 =3εHρ_ρ_ϕ $。我们能够在同质和各向同性背景中显示模型的全局渐近动力学。探索了所提出的场景的宇宙学含义,发现除了出现新的平衡配置外,这些均衡配置既不出现在非相互作用的立方体galileon模型中,也没有在相互作用的典型模型中出现,还通过修改稳定性的稳定性属性会产生重大影响。由此产生的宇宙学场景为宇宙扩张,通货膨胀膨胀的早期短暂阶段以及较小的宇宙学兴趣解决方案提供了宇宙扩张的早期短暂阶段。这项工作将耦合的暗能量的研究扩展到了更广泛的引力理论。
In this paper we perform a thorough dynamical systems analysis of the cubic galileon model non-minimally coupled to the dark matter. Three well-known classes of interacting models are considered where the energy exchange between the dark components is a function of the dark matter density and of the dark energy density: $Q_1=3αHρ_m$, $Q_2=3βρ_m\dotϕ$ and $Q_3=3 εH ρ_ϕ$, respectively. We are able to show the global asymptotic dynamics of the model for the exponential potential in a homogeneous and isotropic background. The cosmological implications of the proposed scenarios are explored and it is found that, in addition to the appearance of new equilibrium configurations that do not appear neither in the non-interacting cubic galileon model nor in the interacting quintessence model, there is a significant impact of the non-minimal coupling through modification of the stability properties of the critical points. The resulting cosmological scenario provides a bigbang origin of the cosmic expansion, an early transient stage of inflationary expansion, as well as matter-scaling late time stable state of the universe, among other solutions of lesser cosmological interest. This work extends previous studies of coupled dark energy to a broader class of gravitational theories.