arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1102.3370astro-ph.COgr-qc
收藏

从光度和年龄数据看宇宙的度量

The Metric of the Cosmos from Luminosity and Age Data

Krzysztof Bolejko, Charles Hellaby, Alnadhief H. A. Alfedeel

摘要:

本文提出了算法来确定Lemaitre-Tolman(LT)模型,最适合给定的最大恒星年龄的数据集,和SNIa光度,都作为红移的函数。然后将其应用于当前的宇宙学数据。必须特别注意原点的处理和最大直径距离的区域。与之前的数据集组合(星系数计数和光度距离与红移)一样,在最大直径距离的区域必须保持一定的关系,而实际数据不太可能完全遵守这些关系。我们展示了如何进行修正,使一个自洽的解决方案被发现。我们解决的问题的最佳方式来近似离散数据与光滑的功能,以及如何估计的输出的不确定性-3个自由函数,确定一个特定的LT度量。虽然目前的数据不允许我们的结果有任何信心,我们表明,该方法工作良好,合理的LT模型适合或没有宇宙学常数。

英文摘要:

This paper presents the algorithm for determining the Lemaitre-Tolman (LT) model that best fits given datasets for maximum stellar ages, and SNIa luminosities, both as functions of redshift. It then applies it to current cosmological data. Special attention must be given to the handling of the origin, and the region of the maximum diameter distances. As with a previous combination of datasets (galaxy number counts and luminosity distances versus redshift), there are relationships that must hold at the region of the maximum diameter distance, which are unlikely to be obeyed exactly by real data. We show how to make corrections that enable a self-consistent solution to be found. We address the questions of the best way to approximate discrete data with smooth functions, and how to estimate the uncertainties of the output - the 3 free functions that determine a specific LT metric. While current data does not permit any confidence in our results, we show that the method works well, and reasonable LT models do fit with or without a cosmological constant.

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。

↑