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arXiv 2104.07356astro-ph.COgr-qc
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用高斯过程对宇宙计时器数据的宇宙学函数的约束

Constraints on Cosmographic Functions of Cosmic Chronometers Data Using Gaussian Processes

A. M. Velasquez-Toribio, J. C. Fabris

摘要:

我们研究了宇宙学函数的观测约束,直到尺度因子相对于宇宙时间的四阶导数,即,所谓的捕捉函数,使用高斯过程的非参数方法。作为观测数据,我们使用哈勃参数数据。我们还使用模拟数据集来估计未来的预测和研究这种类型的数据约束宇宙学功能的性能。非参数方法和哈勃参数数据之间的组合作为一种策略来重建宇宙学函数进行了研究。此外,我们的结果是相当普遍的,因为它们不限于特定类型的函数依赖的哈勃参数。我们研究了用宇宙函数代替宇宙级数的一些优点,因为前者是没有近似的一般定义。一般来说,我们的结果与$ΛCDM$没有显著的偏差。我们确定了跃迁红移$z_{tr}=0.637^{+0.165}_{-0.175}$和$H_{0}=69.45 \pm 4.34$。同样假设哈勃常数的先验,我们得到了具有$H_{0}=67.44$(Planck)的$z_{tr}=0.670^{+0.210}_{-0.120}$和具有$H_{0}=74.03$(SH0 ES)的$z_{tr}=0.710^{+0.159}_{-0.111}$。我们的主要结果总结在表2中。

英文摘要:

We study observational constraints on the cosmographic functions up to the fourth derivative of the scale factor with respect to cosmic time, i.e., the so-called snap function, using the non-parametric method of Gaussian Processes. As observational data we use the Hubble parameter data. Also we use mock data sets to estimate the future forecast and study the performance of this type of data to constrain cosmographic functions. The combination between a non-parametric method and the Hubble parameter data is investigated as a strategy to reconstruct cosmographic functions. In addition, our results are quite general because they are not restricted to a specific type of functional dependency of the Hubble parameter. We investigate some advantages of using cosmographic functions instead of cosmographic series, since the former are general definitions free of approximations. In general, our results do not deviate significantly from $ΛCDM$. We determine a transition redshift $z_{tr}=0.637^{+0.165}_{-0.175}$ and $H_{0}=69.45 \pm 4.34$. Also assuming priors for the Hubble constant we obtain $z_{tr}=0.670^{+0.210}_{-0.120}$ with $H_{0}=67.44$ (Planck) and $z_{tr}=0.710^{+0.159}_{-0.111}$ with $H_{0}=74.03$(SH0ES). Our main results are summarized in table 2.

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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