论文标题
$ f（r）$在约旦框架中的重力作为哈勃张力的范式
$f(R)$ gravity in the Jordan Frame as a Paradigm for the Hubble Tension
论文作者
论文摘要
我们分析了所谓的约旦框架中的$ f（r）$重力，并实现了各向同性宇宙动力学。本研究的目的是表明，根据Supernovae Ia Pantheon样品的最新数据分析，可以考虑到哈勃常数的有效红移依赖性。这是通过非最低耦合标量场的动力学来实现的，因为它出现在$ f（r）$ gravity中。从分析和纯粹的数值角度来看，我们遵循相同的技术范式来面对这个问题。我们到达以确定与红移$ z $的预期衰减是通过标量场电位的形式确保的，如果在分析方法中，或者在数值过程中获得了posteteriori，则独立于$ z \ lysSim0.3 $的标量场基本上保持恒定。因此，我们证明了$ f（r）$暗能量模型能够解释由于爱因斯坦常数通过$ f（r）$ stallar模式重新缩放的哈勃常数的明显变化。
We analyse the $f(R)$ gravity in the so-called Jordan frame, as implemented to the isotropic Universe dynamics. The goal of the present study is to show that, according to recent data analyses of the supernovae Ia Pantheon sample, it is possible to account for an effective redshift dependence of the Hubble constant. This is achieved via the dynamics of a non-minimally coupled scalar field, as it emerges in the $f(R)$ gravity. We face the question both from an analytical and purely numerical point of view, following the same technical paradigm. We arrive to establish that the expected decay of the Hubble constant with the redshift $z$ is ensured by a form of the scalar field potential, which remains essentially constant for $z\lesssim0.3$, independently if this request is made a priori, as in the analytical approach, or obtained a posteriori, when the numerical procedure is addressed. Thus, we demonstrate that an $f(R)$ dark energy model is able to account for an apparent variation of the Hubble constant due to the rescaling of the Einstein constant by the $f(R)$ scalar mode.
