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arXiv 2202.08230astro-ph.COgr-qc
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在明亮的宇宙中使用平滑宇宙距离的结果:I

Consequences of using a smooth cosmic distance in a lumpy universe: I

Obinna Umeh

摘要:

我们如何使一个基于理想化的弗里德曼-勒梅特-罗伯逊-沃克时空的模型与从明亮宇宙中的单个位置进行的观测相吻合?我们解决这个问题的调查,测量星系分布和Ia型超新星的峰值视星等的重子声学振荡的印记。这些观测量通过Alcock-Paczyplowski参数和距离-红移关系与宇宙学模型相关联。使用相应的非齐次时空表达式作为观测数据,我们进行参数推断,假设背景的弗里德曼-勒梅特-罗伯逊-沃克模型是正确的宇宙模型。这个过程使我们能够估计最适合的哈勃速率和减速参数。我们发现,从Alcock-Paczyovski参数的平方推导出的哈勃速率与利用距离-红移关系确定的哈勃速率存在张力。后者给出了宇宙膨胀的最佳拟合哈勃速率。来自Alcock-Paczymbowski参数的哈勃速率的约束被环境污染。当环境贡献仅限于Hubble流中的模时,我们发现Hubble流的Hubble率有(9-12)%的偏差。最后,对宇宙学方法在约束减速参数方面的不足进行了评述。

英文摘要:

How do we appropriately fit a model based on an idealised Friedmann-Lema\^{}tre Robertson-Walker spacetime to observations made from a single location in a lumpy Universe? We address this question for surveys that measure the imprints of the baryon acoustic oscillation in galaxy distribution and the peak apparent magnitude of the Type Ia supernova. These observables are related to the cosmological model through the Alcock-Paczyński parameters and the distance-redshift relation. Using the corresponding inhomogeneous spacetime expressions of these as observed data, we perform a parameter inference assuming that the background Friedmann-Lemaître Robertson-Walker model is the correct model of the Universe. This process allows us to estimate the best fit Hubble rate and the deceleration parameter. We find that the inferred Hubble rate from the monopole of the Alcock-Paczyński parameters is in tension with the Hubble rate determined using the distance-redshift relation. The latter gives the best fit Hubble rate for the cosmological expansion. The constraint on the Hubble rate from the Alcock-Paczyński parameters is contaminated by the environment. When the environmental contribution is restricted to modes in the Hubble flow, we find about (9-12)\% discrepancy in the Hubble rate. Finally, we comment on the insufficiency of the method of cosmography in constraining the deceleration parameter.

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