论文标题

宇宙学模型,观察数据和哈勃常数的张力

Cosmological models, observational data and tension in Hubble constant

论文作者

Sharov, G. S., Sinyakov, E. S.

论文摘要

我们分析了宇宙学模型的预测如何取决于所描述的观测数据,对平坦度的限制, 以及这种选择如何减轻$ H_0 $张力。与标准$λ$ CDM型号相比,$ W $ CDM型号中证明了这些效果。我们描述了IA型超新星的Pantheon样本观测值,31 Hubble参数数据点$ H(Z)$来自Cosmic Chronometers,这是具有57 $ H(Z)$数据点的扩展样品,宇宙微波背景辐射(CMB)的观察点和观察表现。 对于$ W $ CDM和$λ$ CDM模型,在平面曲率中,我们计算了所有观察到的数据以不同组合的数据计算$χ^2 $函数,估计模型参数的最佳值及其预期间隔。对于两种考虑的模型,结果基本上取决于数据集的选择。特别是,对于具有$ h(z)$数据的$ W $ CDM型号,超新星和CMB $1σ$估计可能从$ h_0 = 67.52 = 67.52^{+0.96} _ { - 0.95} $ km \,/(s $ \ cdot $ mpc) $ h_0 = 70.87^{+1.63} _ { - 1.62} $ km \,/(s $ \ cdot $ mpc)用于扁平情况($ k = 0 $)和$ n_h = 31 $。这些结果可能是一个提示如何减轻$ H_0 $张力的问题:哈勃常数的不同估计可能与过滤器相关联和观察数据的选择。

We analyze how predictions of cosmological models depend on a choice of described observational data, restrictions on flatness, and how this choice can alleviate the $H_0$ tension. These effects are demonstrated in the $w$CDM model in comparison with the standard $Λ$CDM model. We describe the Pantheon sample observations of Type Ia supernovae, 31 Hubble parameter data points $H(z)$ from cosmic chronometers, the extended sample with 57 $H(z)$ data points and observational manifestations of cosmic microwave background radiation (CMB). For the $w$CDM and $Λ$CDM models in the flat case and with spatial curvature we calculate $χ^2$ functions for all observed data in different combinations, estimate optimal values of model parameters and their expected intervals. For both considered models the results essentially depend on a choice of data sets. In particular, for the $w$CDM model with $H(z)$ data, supernovae and CMB the $1σ$ estimations may vary from $H_0=67.52^{+0.96}_{-0.95}$ km\,/(s$\cdot$Mpc) (for all $N_H=57$ Hubble parameter data points) up to $H_0=70.87^{+1.63}_{-1.62}$ km\,/(s$\cdot$Mpc) for the flat case ($k=0$) and $N_H=31$. These results might be a hint how to alleviate the problem of $H_0$ tension: different estimates of the Hubble constant may be connected with filters and a choice of observational data.

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