$H_0$作为通用FLRW诊断试剂
$H_0$ as a Universal FLRW Diagnostic
摘要：
我们颠倒了$H_0$ -张力的明显存在背后的逻辑，设计宇宙学模型的诊断。其基本思想是，从不同红移的观测中推断出的$H_0$的非恒定性是FLRW范式中模型的零假设检验-如果$H_0$运行，则模型是错误的。根据观测数据的种类，最合适的诊断形式可能会有所不同。作为例子，我们提出了两个$H_0$诊断，适用于两个不同的BAO观测。我们使用这些和相应的BAO数据高斯重建运行的$H_0$在平坦的$Λ$ CDM与普朗克值的模型参数。对于平坦的$Λ$ CDM，当辐射贡献可以忽略时，具有同向移动距离数据，诊断是简单的超几何函数。也可以通过简单地跟踪诊断的（潜在各向异性的）天空变化来适应FLRW范例的可能的后期时间偏差。
英文摘要：
We reverse the logic behind the apparent existence of $H_0$-tension, to design diagnostics for cosmological models. The basic idea is that the non-constancy of $H_0$ inferred from observations at different redshifts is a null hypothesis test for models within the FLRW paradigm -- if $H_0$ runs, the model is wrong. Depending on the kind of observational data, the most suitable form of the diagnostic can vary. As examples, we present two $H_0$ diagnostics that are adapted to two different BAO observables. We use these and the corresponding BAO data to Gaussian reconstruct the running of $H_0$ in flat $Λ$CDM with Planck values for the model parameters. For flat $Λ$CDM when the radiation contribution can be neglected, with comoving distance data, the diagnostic is a simple hypergeometric function. Possible late time deviations from the FLRW paradigm can also be accommodated, by simply keeping track of the (potentially anisotropic) sky variation of the diagnostic.
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