进一步研究相互作用的暗能量与状态发现层次和结构的增长率
A closer look at interacting dark energy with statefinder hierarchy and growth rate of structure
摘要：
利用状态发现层次和结构增长率的诊断方法研究了相互作用的暗能量模型。我们希望探索$Λ$ CDM的偏差，并区分可能的简并与几何和结构生长诊断的相互作用暗能量模型。我们考虑模型的两种相互作用形式，即，$Q_1=βHρ_c$和$Q_2=βHρ_{de}$，其中$β$是无量纲耦合参数。我们的重点是I $Λ$ CDM模型，它是$Λ$ CDM的一个单参数扩展，通过考虑真空能量（$Λ$）和冷暗物质（CDM）之间的直接耦合，只有额外的参数$β$。但是我们从一个更一般的情况开始，考虑I $w$ CDM模型，其中暗能量具有常数$w$（状态方程参数）。为了计算结构的增长率，我们采用了“参数化后弗里德曼”的相互作用暗能量的理论框架，以数值方式获得模型的$ε(z)$值。我们发现，在几何和结构诊断$w$的影响是远远强于$β$在I $w$ CDM模型。因此，我们希望通过结合几何和结构诊断来更仔细地研究I $Λ$ CDM模型。我们发现，在$S^{(1)}_3$- $ε$平面的演化轨迹表现出独特的功能和偏离$Λ$ CDM可以很好地评估，理论上，表明复合零诊断$\{S^{(1)}_3, ε\}$是一个很有前途的工具，调查相互作用的暗能量模型。
英文摘要：
We investigate the interacting dark energy models by using the diagnostics of statefinder hierarchy and growth rate of structure. We wish to explore the deviations from $Λ$CDM and to differentiate possible degeneracies in the interacting dark energy models with the geometrical and structure growth diagnostics. We consider two interacting forms for the models, i.e., $Q_1=βHρ_c$ and $Q_2=βHρ_{de}$, with $β$ being the dimensionless coupling parameter. Our focus is the I$Λ$CDM model that is a one-parameter extension to $Λ$CDM by considering a direct coupling between the vacuum energy ($Λ$) and cold dark matter (CDM), with the only additional parameter $β$. But we begin with a more general case by considering the I$w$CDM model in which dark energy has a constant $w$ (equation-of-state parameter). For calculating the growth rate of structure, we employ the "parametrized post-Friedmann" theoretical framework for interacting dark energy to numerically obtain the $ε(z)$ values for the models. We show that in both geometrical and structural diagnostics the impact of $w$ is much stronger than that of $β$ in the I$w$CDM model. We thus wish to have a closer look at the I$Λ$CDM model by combining the geometrical and structural diagnostics. We find that the evolutionary trajectories in the $S^{(1)}_3$--$ε$ plane exhibit distinctive features and the departures from $Λ$CDM could be well evaluated, theoretically, indicating that the composite null diagnostic $\{S^{(1)}_3, ε\}$ is a promising tool for investigating the interacting dark energy models.
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