论文标题
确定独立于模型的$ H_0 $和一致性测试
Determining Model-independent $H_0$ and Consistency Tests
论文作者
论文摘要
我们使用强烈的镜头和超新星数据，通过高斯过程回归独立于宇宙学模型，以独立于宇宙学模型来确定hubble常数$ h_0 $（$ 2.3 \％$不确定性）。可变源的强重力镜头可以提供时间延迟距离$ d_ {Δt} $，而透镜的角直径距离$ d _ {\ rm {d}} $。这些绝对距离可以锚定IA型超新星，从而对距离红移关系的形状产生了极好的限制。 Updating our previous results to use the H0LiCOW program's milestone dataset consisting of six lenses, four of which have both $D_{Δt}$ and $D_{\rm{d}}$ measurements, we obtain $H_0=72.8_{-1.7}^{+1.6}\rm{\ km/s/Mpc}$ for a flat universe and $ h_0 = 77.3 _ { - 3.0}^{+2.2} \ rm {\ km/s/mpc} $用于非flat宇宙。我们对数据进行了几次一致性检查，并没有发现统计学上显着的紧张局势，尽管我们研究的特定系统性持续存在明显的红移依赖性。猜测这种派生的哈勃常数具有镜头距离是物理的可能性，我们展示了如何通过修改的重力光传播来产生这种情况，这也会影响弱透镜$σ_8$张力。
We determine the Hubble constant $H_0$ precisely ($2.3\%$ uncertainty) in a manner independent of cosmological model through Gaussian process regression, using strong lensing and supernova data. Strong gravitational lensing of a variable source can provide a time-delay distance $D_{Δt}$ and angular diameter distance to the lens $D_{\rm{d}}$. These absolute distances can anchor Type Ia supernovae, which give an excellent constraint on the shape of the distance-redshift relation. Updating our previous results to use the H0LiCOW program's milestone dataset consisting of six lenses, four of which have both $D_{Δt}$ and $D_{\rm{d}}$ measurements, we obtain $H_0=72.8_{-1.7}^{+1.6}\rm{\ km/s/Mpc}$ for a flat universe and $H_0=77.3_{-3.0}^{+2.2}\rm{\ km/s/Mpc}$ for a non-flat universe. We carry out several consistency checks on the data and find no statistically significant tensions, though a noticeable redshift dependence persists in a particular systematic manner that we investigate. Speculating on the possibility that this trend of derived Hubble constant with lens distance is physical, we show how this can arise through modified gravity light propagation, which would also impact the weak lensing $σ_8$ tension.
