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从宇宙年龄看时间变量宇宙学常数

Time Variable Cosmological Constants from the Age of Universe

Lixin Xu, Jianbo Lu, Wenbo Li

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6 pages, 2 figures
发表信息：
Phys.Lett.B690:333-336,2010
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摘要：

本文研究了时变宇宙常数，称之为{ \it年龄宇宙学常数}，其动机是：任何宇宙学长度尺度和时间尺度都可以引入一个宇宙学常数或真空能量密度到爱因斯坦理论中.年龄宇宙学常数的形式为$ρ_Λ=3c^2M^2_P/t_Λ^2$，其中$t_Λ$是我们宇宙的年龄或共形时间。当分别以宇宙年龄和共形时间作为宇宙学时间尺度时，有效的年龄宇宙学常数状态方程为$w^{eff}_Λ=-1+{2/3}\frac{\sqrt{Ω_Λ}}{c}$和$w^{eff}_Λ=-1+{2/3}\frac{\sqrt{Ω_Λ}}{c}(1+z)$。它们与所谓的年龄暗能量模型相同。但由于演化方程的不同，其演化历史与年龄史不同。

英文摘要：

In this paper, time variable cosmological constant, dubbed {\it age cosmological constant}, is investigated motivated by the fact: any cosmological length scale and time scale can introduce a cosmological constant or vacuum energy density into Einstein's theory. The age cosmological constant takes the form $ρ_Λ=3c^2M^2_P/t_Λ^2$, where $t_Λ$ is the age of our universe or conformal time. The effective equation of state of age cosmological constant are $w^{eff}_Λ=-1+{2/3}\frac{\sqrt{Ω_Λ}}{c}$ and $w^{eff}_Λ=-1+{2/3}\frac{\sqrt{Ω_Λ}}{c}(1+z)$ when the age of universe and conformal time are taken as the role of cosmological time scales respectively. They are the same as the so-called agegraphic dark energy models. However, the evolution history are different from the agegraphic ones for their different evolution equations.

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