arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2211.02129astro-ph.COgr-qc
收藏

高红移$Λ$ CDM宇宙学:入仓还是不入仓?

High Redshift $Λ$CDM Cosmology: To Bin or not to Bin?

Eoin Ó Colgáin, M. M. Sheikh-Jabbari, Rance Solomon

摘要:

在拟合$Λ$ CDM模型之前,我们用普朗克$Λ$ CDM输入值构造观测的Hubble $H(z)$和角直径距离$D_{A}(z)$模拟数据,以研究最佳拟合宇宙学参数$(H_0, Ω_m, Ω_k)$在红移仓中的概率密度函数(PDF)的演化.我们发现,PDF峰只同意在低红移($z \lesssim 1$)箱的$H(z)$和$D_{A}(z)$约束,并在所有红移箱时,$H(z)$和$D_{A}(z)$约束相结合的输入参数。当输入参数未恢复时,我们观察到PDF朝向较大的$Ω_m$值表现出非高斯尾部,并且在较小的$Ω_m$值处移位到(不太明显的)峰值。由于$H(z)$和$D_{A}(z)$的观测结果只限制了宇宙学参数在更高红移处的组合,所以PDF的这种平坦化是可以预期的,因此均匀的PDF是可以预期的。我们的分析留给我们一个选择,在知识,我们可能不太可能恢复普朗克值,或进行全样本分析,偏见$Λ$ CDM推论较低的红移宇宙的高红移数据。

英文摘要:

We construct observational Hubble $H(z)$ and angular diameter distance $D_{A}(z)$ mock data with baseline Planck $Λ$CDM input values, before fitting the $Λ$CDM model to study evolution of probability density functions (PDFs) of best fit cosmological parameters $(H_0, Ω_m, Ω_k)$ across redshift bins. We find that PDF peaks only agree with the input parameters in low redshift ($z \lesssim 1$) bins for $H(z)$ and $D_{A}(z)$ constraints, and in all redshift bins when $H(z)$ and $D_{A}(z)$ constraints are combined. When input parameters are not recovered, we observe that PDFs exhibit non-Gaussian tails towards larger $Ω_m$ values and shifts to (less pronounced) peaks at smaller $Ω_m$ values. This flattening of the PDF is expected as $H(z)$ and $D_{A}(z)$ observations only constrain combinations of cosmological parameters at higher redshifts, so uniform PDFs are expected. Our analysis leaves us with a choice to bin high redshift data in the knowledge that we may be unlikely to recover Planck values, or conduct full sample analysis that biases $Λ$CDM inferences to the lower redshift Universe.

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。

↑