具有一般非最小动力学耦合的体模分界线交叉
Phantom Divide Crossing with General Non-minimal Kinetic Coupling
摘要：
我们提出了一个暗能量模型，该模型由一个单一的标量场组成，该标量场与其自身和曲率具有一般的非最小动力学耦合。我们研究了宇宙动力学的状态方程在这个设置。耦合项具有$ξ_{1} R f(ϕ)\partial_μϕ\partial^μϕ$和$ξ_{2} R_{μν}f(ϕ)\partial^μϕ\partial^νϕ$的形式，其中$ξ_{1}$和$ξ_{2}$是耦合参数，并且它们的维数取决于函数$f(ϕ)$的类型。我们得到了幻影划分交叉所需的条件，并数值表明，一般的非最小导数耦合到标量和Ricci曲率的宇宙学模型可以实现这样的交叉。
英文摘要：
We propose a model of dark energy consists of a single scalar field with a general non-minimal kinetic couplings to itself and to the curvature. We study the cosmological dynamics of the equation of state in this setup. The coupling terms have the form $ξ_{1} R f(ϕ)\partial_μϕ\partial^μϕ$ and $ξ_{2} R_{μν}f(ϕ)\partial^μϕ\partial^νϕ$ where $ξ_{1}$ and $ξ_{2}$ are coupling parameters and their dimensions depend on the type of function $f(ϕ)$. We obtain the conditions required for phantom divide crossing and show numerically that a cosmological model with general non-minimal derivative coupling to the scalar and Ricci curvatures can realize such a crossing.
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