改进的Chaobergin圈量子宇宙学的观测约束
Observational Constraints of Modified Chaplygin Gas in Loop Quantum Cosmology
摘要：
我们考虑了充满暗物质（压力可忽略的理想流体）和修正的Chaubergin气体（MCG）型暗能量的FRW宇宙在圈量子宇宙学（LQC）模型中。我们用可观测参数$Ω_{m0}$、$Ω_{x0}$和$H_{0}$来表示哈勃参数，其中包含红移$z$和其他参数，如$A$、$B$、$C$和$α$。从Stern数据集（12点）出发，通过极小化$χ^{2}$检验，得到了任意参数的界。在66%、90%和99%的置信水平下获得参数的最佳拟合值。其次，通过对BAO和CMB观测值的联合分析，我们还通过固定其他一些参数$α$和$A$，得到了参数（$B,C$）的界。从LQC中距离模量$μ(z)$对我们的理论MCG模型的最佳拟合，我们得出结论，我们的模型与union2样本数据一致。
英文摘要：
We have considered the FRW universe in loop quantum cosmology (LQC) model filled with the dark matter (perfect fluid with negligible pressure) and the modified Chaplygin gas (MCG) type dark energy. We present the Hubble parameter in terms of the observable parameters $Ω_{m0}$, $Ω_{x0}$ and $H_{0}$ with the redshift $z$ and the other parameters like $A$, $B$, $C$ and $α$. From Stern data set (12 points), we have obtained the bounds of the arbitrary parameters by minimizing the $χ^{2}$ test. The best-fit values of the parameters are obtained by 66%, 90% and 99% confidence levels. Next due to joint analysis with BAO and CMB observations, we have also obtained the bounds of the parameters ($B,C$) by fixing some other parameters $α$ and $A$. From the best fit of distance modulus $μ(z)$ for our theoretical MCG model in LQC, we concluded that our model is in agreement with the union2 sample data.
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