论文标题
可能通过Weyl不变重力解决哈勃张力
Possible Resolution of the Hubble Tension with Weyl Invariant Gravity
论文作者
论文摘要
我们探索了真正的Weyl不变（WI）引力相互作用的宇宙学含义。后者在特定的保形框架中降低了一般相对论，重力耦合和主动重力质量是固定的。具体而言，我们考虑了该框架中的宇宙学模型，该模型与宇宙学的标准模型（SM）相同。但是，由于模型的新（宇宙学）基本质量尺度（$γ$），在新的背景度量中行驶的测试粒子的{\ it kinematics}进行了修改。由于新指标的失误功能是径向依赖于{\ it com comoving}框架中的任何传入光子体验（重力）红色/蓝光，与SM不同。由于比例$γ$，距离尺度也会修改。索取的$4.4σ$张力水平在本地测量的哈勃常数（$ h_ {0} $之间），其带有SH0ES，并从宇宙微波背景（CMB）中推断出的相应值可以通过比早期三世的重组可以显着缓解。假设消失的空间曲率是Planck 2018（p18）之一（p18）或Dark Energy Survey（DES）YR1数据集，则在sh0es之前，暗示$γ^{ - 1} $是$ o（100）$ $ o（100）$乘以哈布尔量表大于哈勃尺度，$ h_ {0}^{0}^{ - 1} $。考虑到P18+SH0ES或P18+DES+SH0ES数据集组合，与消失的$γ$的几率分别超过1000：1和2000：1，并且该模型分别高于具有偏差信息标准（DIC）增益$ \ gtrsim 10 $和$ \ gtrsim 12 $ 12 $ 12 $的SM。该模型中的张力分别降低到$ \ sim 1.5 $和$1.3σ$。我们得出的结论是，$ h_ {0} $张力可能仅仅是由于引力互动的基本对称性而产生的 - Weyl不变性。 （简略）
We explore cosmological implications of a genuinely Weyl invariant (WI) gravitational interaction. The latter reduces to general relativity in a particular conformal frame for which the gravitational coupling and active gravitational masses are fixed. Specifically, we consider a cosmological model in this framework that is {\it dynamically} identical to the standard model (SM) of cosmology. However, {\it kinematics} of test particles traveling in the new background metric is modified thanks to a new (cosmological) fundamental mass scale, $γ$, of the model. Since the lapse-function of the new metric is radially-dependent any incoming photon experiences (gravitational) red/blueshift in the {\it comoving} frame, unlike in the SM. Distance scales are modified as well due to the scale $γ$. The claimed $4.4σ$ tension level between the locally measured Hubble constant, $H_{0}$, with SH0ES and the corresponding value inferred from the cosmic microwave background (CMB) could then be significantly alleviated by an earlier-than-thought recombination. Assuming vanishing spatial curvature, either one of the Planck 2018 (P18) or dark energy survey (DES) yr1 data sets subject to the SH0ES prior imply that $γ^{-1}$ is $O(100)$ times larger than the Hubble scale, $H_{0}^{-1}$. Considering P18+SH0ES or P18+DES+SH0ES data set combinations, the odds against vanishing $γ$ are over 1000:1 and 2000:1, respectively, and the model is strongly favored over the SM with a deviance information criterion (DIC) gain $\gtrsim 10$ and $\gtrsim 12$, respectively. The tension is reduced in this model to $\sim 1.5$ and $1.3 σ$, respectively. We conclude that the $H_{0}$ tension may simply result from a yet unrecognized fundamental symmetry of the gravitational interaction -- Weyl invariance. (abridged)
