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arXiv 0906.0210astro-ph.CO
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广义全息和Ricci暗能量模型

Generalized Holographic and Ricci Dark Energy Models

Lixin Xu, Jianbo Lu, Wenbo Li

备注：
10 pages, 3 figures
发表信息：
Eur.Phys.J.C64:89-95,2009
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摘要：

本文考虑广义全息和Ricci暗能量模型，其中能量密度分别为$ρ_{R}=3c^2M^{2}_{pl}Rf(H^2/R)$和$ρ_{h}=3c^2M^{2}_{pl}H^2g(R/H^2)$，其中$f(x),g(y)$是无量纲变量$H^2/R$或$R/H^2$的正定义函数。有趣的是，当分别取函数$f(x)=g(y)\equiv 1$或$f=g\equiv Id$（例如分别取$f(x),g(x)=1-ε(1-x)$、$ε=0 \text{or} 1$）时，全息和里奇暗能量密度被恢复或可互换地被恢复。此外，当采用$f(x)\equiv xg(1/x)$时，里奇和全息暗能量模型等价于广义模型。以简单形式的$f(x)=1-ε(1-x)$和$g(y)=1-η(1-y)$为例，利用现有的宇宙观测数据，研究了广义暗能量模型。正如预期的那样，在这些情况下，结果表明，它们是等效的（$ε=1-η=1.312$）和里奇类暗能量更有利于相对于全息的哈勃视界作为红外截止。而且，全息和里奇暗能量成分的暗示性组合将是$1.312 R-0.312H^2$，它是$H^2$和$\dot{H}$的$2.312H^2+1.312\dot{H}$。

英文摘要：

In this paper, we consider generalized holographic and Ricci dark energy models where the energy densities are given as $ρ_{R}=3c^2M^{2}_{pl}Rf(H^2/R)$ and $ρ_{h}=3c^2M^{2}_{pl}H^2g(R/H^2)$ respectively, here $f(x),g(y)$ are positive defined functions of dimensionless variables $H^2/R$ or $R/H^2$. It is interesting that holographic and Ricci dark energy densities are recovered or recovered interchangeably when the function $f(x)=g(y)\equiv 1$ or$f=g\equiv Id$ is taken respectively (for example $f(x),g(x)=1-ε(1-x)$, $ε=0 \text{or} 1$ respectively). Also, when $f(x)\equiv xg(1/x)$ is taken, the Ricci and holographic dark energy models are equivalents to a generalized one. When the simple forms $f(x)=1-ε(1-x)$ and $g(y)=1-η(1-y)$ are taken as examples, by using current cosmic observational data, generalized dark energy models are researched. As expected, in these cases, the results show that they are equivalent ($ε=1-η=1.312$) and Ricci-like dark energy is more favored relative to the holographic one where the Hubble horizon was taken as an IR cut-off. And, the suggestive combination of holographic and Ricci dark energy components would be $1.312 R-0.312H^2$ which is $2.312H^2+1.312\dot{H}$ in terms of $H^2$ and $\dot{H}$.

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