论文标题
使用过渡红移对非燃料$λCDM$型号和无效测试的观察约束
Observational constraints on the non-flat $ΛCDM$ model and a null test using the transition redshift
论文作者
论文摘要
标准宇宙学模型的自然扩展是包括曲率作为自由参数的模型。在这项工作中，我们详细研究了使用两个主要几何测试：SNIA和HUBBLE参数测量值对非流量$λCDM$模型的观察性约束。通常，我们表明对$λCDM$模型参数的观察性约束在很大程度上取决于曲率参数。特别是，我们研究了一个由物质主导的宇宙占主导地位的宇宙的宇宙宇宙中的限制（$ z_ {t} $）。使用此可观察的可观察到定义$ζ= z_ {t，flat} -z_ {t，non flat} $的新的空测试。该测试仅取决于哈勃参数，哈勃常数和物质密度参数的数据。但是，它不取决于可观察到的衍生物，因为文献中通常许多测试。为了重建此测试，我们使用高斯过程方法。当我们使用$ planck/2018 $的最佳拟合参数值时，我们没有发现数据和标准模型之间存在分歧的证据（flat $λcdm$），但是，如果我们使用$ h_ {0} $的$ h_ {0} $，我们发现与标准模型相反。但是，重要的是要注意，哈勃参数数据具有较大的误差用于实体统计分析。
A natural extension of the standard cosmological model are models that include curvature as a free parameter. In this work we study in detail the observational constraints on the non-flat $ΛCDM$ model using the two main geometric tests: SNIa and Hubble parameter measurements. In general we show that the observational constraints on the parameters of the $ΛCDM$ model strongly depend on the curvature parameter. In particular, we study the constraints on the transition redshift ($z_{t}$) of a universe dominated by matter for a universe dominated by the cosmological constant. Using this observable we construct a new null test defining $ζ= z_{t, flat}-z_{t, non flat}$. This test depends only on the data of the Hubble parameter, the Hubble constant and the matter density parameter. However, it does not depend on derivative of an observable as generally many tests in the literature. To reconstruct this test, we use the Gaussian process method. When we use the best-fit parameters values of $PLANCK/2018$, we find no evidence of a disagreement between the data and the standard model (flat $ΛCDM$), but if we use the value $H_{0}$ from $RIESS/2018$ we found a disagreement with respect at the standard model. However, it is important to note that the Hubble parameter data has large errors for a solid statistical analysis.
