论文标题
$ k $ - 源模型的修改缩放模型 - 暗物质情景
Modified scaling in $k$-essence model in interacting dark energy - dark matter scenario
论文作者
论文摘要
\ textit {scherrer and putter et.al}表明,当黑暗能量的动态由同质$ k-$ k-$ sensence scalar field $ ϕ $驱动时,表格$ $ l = v_0f(x)$的lagrangian具有恒定的潜在$ v_0 $和$ x = \ frac = \ freac nabl \ frac {1} {2} \ dotϕ^2 $,一个人获得缩放关系$ x(df/dx)^2 = ca^{ - 6} $,其中$ c $是常数,$ a $是宇宙的frw量表因子。黑暗能源部门和$ k- $本质潜力的恒定性的独立能源保护有助于获得这样的缩放。在本文中,我们已经表明,即使考虑了暗能量与暗物质之间的时间相关的相互作用,$ k-$本质潜力的恒定性也可能导致一种修改的缩放形式。在相互作用的情况下,我们已经获得了在暗能和暗物质的连续性方程中出现的特定参数术语参数化的缩放关系。我们使用了来自Supernova IA观测值的亮度距离和红移数据的JLA分析的输入来获得缩放的修改形式。
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 $ϕ$, with a Lagrangian of the form $L = V_0F(X)$ with a constant potential $V_0$ and $X = \frac{1}{2}\nabla^μϕ\nabla_μϕ= \frac{1}{2}\dotϕ^2$, 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.