使用不同诊断工具探索Sharma-Mittal HDE模型
Exploring the Sharma-Mittal HDE models with different diagnostic tools
摘要：
本文在各向同性和空间均匀的平坦Friedmann-Robertson-Walker（FRW）宇宙框架下，通过考虑参数$δ$和$R$的不同取值，研究了Sharma-Mittal全息暗能量模型（SMHDE），其中红外截止由哈勃视界处理.我们通过对Statefinder层次结构和扰动增长率的分析来检验SMHDE模型。状态发现层次$S_3^1$、$S_3^2$、$S_4^1$、$S_4^2$与红移z的演化轨迹在整个宇宙评估中显示出令人满意的行为。复合零诊断（CND）$\{ S_3^1 - ε\}$是研究暗能量模型的一个很有前途的工具，其中$S_3^1 - ε$对的演化轨迹呈现出不同的性质，可以很好地评估对$Λ$ CDM的偏离。此外，我们还利用$ω_{D}-ω^{'}_{D}$对分析方法对模型进行了动力学分析。
英文摘要：
In this paper, we have examined the Sharma-Mittal holographic dark energy model (SMHDE) in the framework of an isotropic and spatially homogeneous flat Friedmann-Robertson-Walker(FRW) Universe by considering different values of parameter $δ$ and $R$, where the infrared cut-off is taken care by the Hubble horizon. We examined the SMHDE model through the analysis of Statefinder hierarchy and the growth rate of perturbation. The evolutionary trajectories of the statefinder hierarchy $S_3^1$, $S_3^2$ $S_4^1$, $S_4^2$ versus redshift z, show satisfactory behavior throughout the Universe evaluation. One promising tool for investigating the dark energy models is the composite null diagnostic(CND) $\{ S_3^1 - ε\}$, where the evolutionary trajectories of the $S_3^1 - ε$ pair present different property and the departure from $Λ$CDM could be well evaluated. Additionally, we investigated the dynamical analysis of the model by $ω_{D}-ω^{'}_{D}$ pair analysis.
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