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arXiv 1311.1600astro-ph.CO
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用宇宙年龄方法区分非齐次模型和$Λ\textrm{CDM}$模型

Distinguishing between inhomogeneous model and $Λ\textrm{CDM}$ model with the cosmic age method

Siqi Liu, Tong-Jie Zhang

摘要:

宇宙学观测量可以用来构造宇宙学模型,然而,光锥上限定的固定数量的观测量不足以唯一地确定某个模型。一个重建的球对称非均匀模型(本文称之为LTB- $Λ\textrm{CDM}$模型)可能提供另一种解决方案,该模型除了具有$Λ\textrm{CDM}$模型外,还具有相同的角-直径-距离-红移关系$d_A(z)$和哈勃参数$H(z)$。光锥外的宇宙年龄可以用来区分这两种模型。我们推导出了带起源条件的年龄计算公式。利用WMAP的9年观测数据,分别采用距离先验方法计算了两个模型中参数的似然性,并通过生成蒙特卡罗马尔可夫链进行似然性分析,以打破计算参数$Ω_m$和$H_0$的简并性。结果为:$t_{Λ\textrm{CDM}} =13.76 \pm 0.09 ~\rm Gyr$,$t_{\rm {LTB}-Λ\textrm{CDM}} =11.38 \pm 0.15 ~\rm Gyr$,均与缺金属星给出的宇宙年龄约束$1σ$一致。本文提出的宇宙年龄方法使我们能够区分非均匀模型和$Λ\textrm{CDM}$模型。

英文摘要:

Cosmological observables could be used to construct cosmological models, however, a fixed number of observables limited on the light cone is not enough to uniquely determine a certain model. A reconstructed spherically symmetric, inhomogeneous model that share the same angular-diameter-distance-redshift relationship $d_A(z)$ and Hubble parameter $H(z)$ besides $Λ\textrm{CDM}$ model (which we call LTB-$Λ\textrm{CDM}$ model in this paper), may provide another solution. Cosmic age, which is off the light cone, could be employed to distinguish these two models. We derive the formulae for age calculation with origin conditions. From the data given by 9-year WMAP measurement, we compute the likelihood of the parameters in these two models respectively by using the Distance Prior method and do likelihood analysis by generating Monte Carlo Markov Chain for the purpose of breaking the degeneracy of $Ω_m$ and $H_0$ (the parameters that we use for calculation). The results yield to be: $t_{Λ\textrm{CDM}} =13.76 \pm 0.09 ~\rm Gyr$, $t_{\rm {LTB}-Λ\textrm{CDM}} =11.38 \pm 0.15 ~\rm Gyr$, both in $1σ$ agreement with the constraint of cosmic age given by metal-deficient stars. The cosmic age method that is set in this paper enables us to distinguish between the inhomogeneous model and $Λ\textrm{CDM}$ model.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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