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PROBABILITY DISTRIBUTION OF THE HUBBLE CONSTANT AND THE AGE OF THE UNIVERSE INFERRED FROM LOCAL OBSERVATIONS

机译:从局部观测推断的恒常数的概率分布和宇宙的年龄。

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摘要

We present a method of computing the probability distribution function of the Hubble constant H_0 and the age of the universe t_0, given the estimate of the Hubble constant in our nearby galaxy samples. Our method takes into account both the observational errors and the cosmic variance, and makes it possible to compute quantitatively the constraints on the cosmological models. Based on the present local observation H_0 = 80 ± 17 km s~(-1) Mpc~(-1), the probability of H_0 < 50 km s~(-1) Mpc~(-1) is about 6% for the Einstein-de Sitter universe (Ω_0 = 1) and 4% for an open (Ω_0 = 0.2) universe. These probabilities are reduced to 0.8% and 0.03%, respectively, if the accuracy of the observational uncertainty is improved within 10%. Similar probabilistic constraints on t_0 are also discussed.
机译:考虑到我们附近星系样本中哈勃常数的估计值,我们提出了一种计算哈勃常数H_0和宇宙年龄t_0的概率分布函数的方法。我们的方法同时考虑了观测误差和宇宙方差,并使得可以定量计算对宇宙学模型的约束。根据目前的局部观测值H_0 = 80±17 km s〜(-1)Mpc〜(-1),H_0 <50 km s〜(-1)Mpc〜(-1)的概率约为6%。爱因斯坦德西特(Einstein-de Sitter)宇宙(Ω_0= 1),开放宇宙(Ω_0= 0.2)的4%。如果观测不确定性的准确性提高到10%以内,则这些概率分别降低到0.8%和0.03%。还讨论了对t_0的类似概率约束。

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