标题： 结构增长指数与当前宇宙加速膨胀的相关性：对暗能量模型的限制 显示英文标题

标题： Correlation of structure growth index with current cosmic acceleration: constraints on dark energy models

摘要： 我们通过物质扰动和增长指数$\gamma$在爱因斯坦理论框架内研究动态暗能量模型。 在四维广义相对论中，我们假设暗能量不聚集，并采用线性假设来研究增长指数对减速参数$q$和暗能量状态方程参数$w$的影响。 按照这种方法，我们确定了$q_0$（$q$当前值）与$\gamma$之间的关系，据我们所知，这是新的。 对于$w(z)$，我们发现，在大多数考虑的情况下，它会穿过-1线（第五种模型），最终在当前值$w_0 > -1$处结束。 此外，我们证明可以得到$w(z)$的解析表达式，形式为(4,4)（或更高）的帕德参数化。 显示英文摘要

摘要： We study dynamical dark energy models within Einstein's theory by means of matter perturbations and the growth index $\gamma$. Within four-dimensional General Relativity, we assume that dark energy does not cluster, and we adopt a linear ansatz for the growth index to investigate its impact on the deceleration parameter, $q$, and on the dark energy equation-of-state parameter, $w$. Following this approach, we identify a relationship between $q_0$ (today's value of $q$) and $\gamma$, which to the best of our knowledge is new. For $w(z)$, we find that in most of the cases considered it crosses the -1 line (quintom) ending at a present day value $w_0 > -1$. Furthermore, we show that an analytic expression for $w(z)$ may be obtained in the form of order (4,4) (or higher) Pad{\'e} parameterizations.