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arXiv 2001.04408astro-ph.COgr-qc
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Pantheon对宇宙学超新星数据的模型独立分析的更新

Pantheon update on a model-independent analysis of cosmological supernova data

A. K. Çamlıbel, İ. Semiz, M. A. Feyizoğlu

备注：
23 pages, 12 figures, 5 tables. The authors promise to keep an expanded and continuously updated version of table 4 (calculations of the transition redshift in the literature) online for as long as possible and reasonable
发表信息：
Class. Quantum Grav 37, 235001 (2020)
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摘要：

我们提出了一个更新我们以前的工作，需要一个显着改进的数据集的可用性。这项工作是一个独立于模型的宇宙学超新星（Ia型）数据的分析，其中函数族以光度距离作为红移的函数，即$d_{L}(z)$的形式拟合到数据中;随后导出尺度函数$a(t)$的时间导数$analytically$，但作为$z$的函数，而不假设重力或宇宙的内容。这给出了，例如宇宙从减速到加速的红移值，作为平坦宇宙的$z_{t}=0.54 \pm 0.04$。在更新中，我们切换到更现代的拟合标准，并考虑到SNIa光度校准的不确定性。如果引力理论$is$假设，我们的结果允许确定宇宙的密度作为$z$的函数，由此可以得出关于宇宙内容的结论。我们更新了以前工作的结果，这是为爱因斯坦引力做的，找到了暗能量分数的下限，$Ω_{DE}>0.46$ ;这里我们也为Starobinsky引力做了这件事，我们可以找到一个Starobinsky参数，可以消除对暗能量的需要。

英文摘要：

We present an update of our previous work, necessitated by availability of a significantly improved dataset. The work is a model-independent analysis of the cosmological supernova (Type Ia) data, where function families are fit to the data in form of luminosity distance as function of redshift, that is, $d_{L}(z)$; and subsequently time-derivatives of the scale function $a(t)$ are $analytically$ derived, but as functions of $z$, without making assumptions about of gravity or the contents of the universe. This gives, e.g. the redshift value at which the universe goes over from deceleration to acceleration, as $z_{t}=0.54 \pm 0.04$ for a flat universe. In the update, we switch to a more modern fit criterion and also take into account the uncertainty in the calibration of the SNIa luminosities. If a theory of gravity $is$ assumed, our results allow determination of the density of the universe as function of $z$, from which conclusions about the contents of the universe can be drawn. We update the previous work's result where this was done for Einstein gravity, finding a lower-limit on the dark energy fraction, $Ω_{DE}>0.46$; and here we do this also for Starobinsky gravity, where we can find a Starobinsky parameter that can eliminate the need for dark energy.

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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