标题： 相互作用暗能量-暗物质情景中的$k$本质模型的改进缩放 显示英文标题

标题： Modified scaling in $k$-essence model in interacting dark energy - dark matter scenario

摘要： \textit{谢尔勒和普特等}已经证明，当暗能量的动力学由一个均匀的$k-$精髓标量场$\phi$驱动，其拉格朗日形式为$L = V_0F(X)$，具有常数势能$V_0$和$X = \frac{1}{2}\nabla^\mu\phi \nabla_\mu\phi = \frac{1}{2}\dot{\phi}^2$，则得到一个标度关系$X(dF/dX)^2 = Ca^{-6}$，其中$C$是一个常数，$a$是宇宙的 FRW 标度因子。 在暗能量领域中单独的能量守恒以及$k-$本质势的常数值对于获得这种标度是至关重要的。 在本文中，我们表明即使考虑暗能量与暗物质之间的时变相互作用，$k-$本质势的常数值可能会导致标度的修改形式。 我们得到了在相互作用情景下，暗能量和暗物质连续性方程中出现的源项特定参数化类别的标度关系。 我们使用了来自超新星Ia观测的光度距离和红移数据的JLA分析输入，以获得标度的修改形式。 显示英文摘要

摘要： It has been shown by \textit{Scherrer and Putter et.al} that, when dynamics of dark energy is driven by a homogeneous $k-$essence scalar field $\phi$, with a Lagrangian of the form $L = V_0F(X)$ with a constant potential $V_0$ and $X = \frac{1}{2}\nabla^\mu\phi \nabla_\mu\phi = \frac{1}{2}\dot{\phi}^2$, one obtains a scaling relation $X(dF/dX)^2 = Ca^{-6}$ , where $C$ is a constant and $a$ is the FRW scale factor of the universe. The separate energy conservation in the dark energy sector and the constancy of $k-$essence potential are instrumental in obtaining such a scaling. In this paper, we have shown that even when considering time-dependent interactions between dark energy and dark matter, the constancy of $k-$essence potential may lead to a modified form of scaling. We have obtained such a scaling relation for a particular class of parametrisation of the source term occurring in the continuity equation of dark energy and dark matter in the interacting scenario. We used inputs from the JLA analysis of luminosity distance and redshift data from Supernova Ia observations, to obtain the modified form of the scaling.