论文标题
$ h_0 $修饰的重力理论的测量：镜头类星体在较晚宇宙中的作用
Measurements of $H_0$ in modified gravity theories: The role of lensed quasars in the late-time Universe
论文作者
论文摘要
在这项工作中，我们在修饰的重力理论的背景下获得了哈勃常数的测量。我们通过考虑可行的宇宙学$ f（r）$和$ f（t）$模型来建立理论框架，并通过使用以模型独立的方式获得的几何数据集进行了分析，即通过测量的重力镜头的准时延迟，测量的时间差异，来自宇宙变形群的标准时钟，来自Pan ianthy panthe panthe pan iaraia the Pan iaraia fromane supply superny supper superny suppern iaraia。我们发现$ h_0 =（72.4 \ pm 1.4）$ km s $^{ - 1} $ mpc $^{ - 1} $和$ h_0 =（71.5 \ pm 1.3）$ km s $ s $ s $^{ - 1} $ mpc $^{ - 1} $ for $ f（r）$ f（r）$和$ f（r）$ f（r）$ f（r）$ f（r）$ f（r）$ f（t）我们的结果代表哈勃常数的1.9 \％和1.8 \％的测量值，这与Hubble Space望远镜对$ H_0 $的局部估计完全一致。我们没有发现与一般相对论的显着背离，因为我们的研究表明，超出一般相对性的重力扩展的特征参数与$λ$ CDM宇宙学兼容。此外，在标准宇宙学框架内，我们的完整联合分析表明，尽管没有发现与宇宙学常数偏差的统计证据，但可以测量状态参数的暗能量方程。
In this work, we obtain measurements of the Hubble constant in the context of modified gravity theories. We set up our theoretical framework by considering viable cosmological $f(R)$ and $f(T)$ models, and we analyzed them through the use of geometrical data sets obtained in a model-independent way, namely, gravitationally lensed quasars with measured time delays, standard clocks from cosmic chronometers, and standard candles from the Pantheon Supernovae Ia sample. We find $H_0=(72.4\pm 1.4)$ km s$^{-1}$ Mpc$^{-1}$ and $H_0=(71.5\pm 1.3)$ km s$^{-1}$ Mpc$^{-1}$ for the $f(R)$ and $f(T)$ models, respectively. Our results represent 1.9\% and 1.8\% measurements of the Hubble constant, which are fully consistent with the local estimate of $H_0$ by the Hubble Space Telescope. We do not find significant departures from general relativity, as our study shows that the characteristic parameters of the extensions of gravity beyond general relativity are compatible with the $Λ$CDM cosmology. Moreover, within the standard cosmological framework, our full joint analysis suggests that it is possible to measure the dark energy equation of state parameter at 1.2\% accuracy, although we find no statistical evidence for deviations from the cosmological constant case.
