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arXiv 1003.6115astro-ph.COgr-qc
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宇宙膨胀率的贝叶斯模型独立估算

Bayesian model-independent evaluation of expansion rates of the universe

Moncy V. John

摘要:

利用397颗超新星的“宪法”数据对宇宙膨胀率的边际似然性进行了评估,从而更新了以前一些工作的结果。即使当开始一个非常强的先验概率,有利于加速扩张,我们得到一个边际似然减速参数$q_0$峰值在零附近的空间平坦的情况下。它还发现,新的数据显着约束宇宙膨胀率,与以前的分析相比。这些结果可能强烈依赖于为哈勃参数选择的高斯先验概率分布,由$h$表示,其中$h=0.68\pm 0.06$。这和其他扩张率的类似先验是从以前的数据推导出来的。在这里,我们再次执行贝叶斯模型独立的分析,其中比例因子被扩展为关于当前纪元的时间上的泰勒级数。与这种关于红移的泰勒展开式不同,这种方法没有收敛问题。

英文摘要:

Marginal likelihoods for the cosmic expansion rates are evaluated using the `Constitution' data of 397 supernovas, thereby updating the results in some previous works. Even when beginning with a very strong prior probability that favors an accelerated expansion, we obtain a marginal likelihood for the deceleration parameter $q_0$ peaked around zero in the spatially flat case. It is also found that the new data significantly constrains the cosmographic expansion rates, when compared to the previous analyses. These results may strongly depend on the Gaussian prior probability distribution chosen for the Hubble parameter represented by $h$, with $h=0.68\pm 0.06$. This and similar priors for other expansion rates were deduced from previous data. Here again we perform the Bayesian model-independent analysis in which the scale factor is expanded into a Taylor series in time about the present epoch. Unlike such Taylor expansions in terms of redshift, this approach has no convergence problem.

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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