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arXiv 2302.07899astro-ph.CO
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重新审视作为宇宙学探针的最古老恒星:对哈勃常数的新约束

Revisiting oldest stars as cosmological probes: new constraints on the Hubble constant

Andrea Cimatti, Michele Moresco

AI总结:

本研究利用年龄大于13.3 Gyr的古老天体,结合贝叶斯方法、形成红移先验和物质密度假设,对哈勃常数提出独立上限约束,并评估年龄测量精度提升的价值。

摘要:

尽管观测宇宙学取得了巨大进展,哈勃常数($H_0$)的数值仍存在争议(即所谓的“哈勃张力”),原因是局域/晚期测量结果与从宇宙微波背景导出的结果之间不一致。由于宇宙年龄对$H_0$非常敏感,我们探究了当今最古老的恒星能否对哈勃常数给出独立约束。为此,我们从文献中选取了具有精确年龄估计的最古老天体,包括球状星团、恒星、白矮星、超暗矮星系和矮椭球星系。我们对其形成红移采用保守先验($11 \leq z_{\rm f} \leq 30$),并假设$\Omega_{\rm M}=0.3\pm0.02$,发展了一种基于贝叶斯统计的方法来估计哈勃常数。我们选取了年龄大于13.3 Gyr的最古老天体,并分别针对每个天体单独估计$H_0$,同时也对均质子样本的平均年龄进行估计。统计和系统不确定性均得到适当考虑。基于单个年龄的约束表明,在选取最精确估计时,$H_0<70.6$ km/s/Mpc。如果对各子样本的年龄分别进行平均并独立分析,最严格的约束意味着在90.3%的概率下$H_0<73.0$,误差约为2.5 km/s/Mpc。我们还构建了一个“精度矩阵”,以评估随着恒星年龄和$\Omega_{\rm M}$精度的进一步提高,对$H_0$的约束如何变得更严格。结果表明,最古老恒星作为独立且具有竞争力的宇宙学探针具有很高潜力,而且这种应用并不局限于哈勃常数。

英文摘要:

Despite the tremendous advance of observational cosmology, the value of the Hubble constant ($H_0$) is still controversial (the so called ``Hubble tension'') because of the inconsistency between local/late-time measurements and those derived from the cosmic microwave background. As the age of the Universe is very sensitive to $H_0$, we explored whether the present-day oldest stars could place independent constraints on the Hubble constant. To this purpose, we selected from the literature the oldest objects (globular clusters, stars, white dwarfs, ultra-faint and dwarf spheroidal galaxies) with accurate age estimates. Adopting a conservative prior on their formation redshifts ($11 \leq z_{\rm f} \leq 30$) and assuming $Ω_{\rm M} = 0.3 \pm 0.02$, we developed a method based on Bayesian statistics to estimate the Hubble constant. We selected the oldest objects ($>13.3$ Gyr) and estimated $H_0$ both for each of them individually and for the average ages of homogeneous subsamples. Statistical and systematic uncertainties were properly taken into account. The constraints based on individual ages indicate that $H_0<70.6$ km/s/Mpc when selecting the most accurate estimates. If the ages are averaged and analyzed independently for each subsample, the most stringent constraints imply $H_0<73.0$ with a probability of 90.3% and errors around 2.5 km/s/Mpc. We also constructed an ``accuracy matrix'' to assess how the constraints on $H_0$ become more stringent with further improvements in the accuracy of stellar ages and $Ω_{\rm M}$. The results show the high potential of the oldest stars as independent and competitive cosmological probes not only limited to the Hubble constant.

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