The gauge invariant formulation of the local expansion rate driven by the local average density in an inhomogeneous universe
The gauge invariant formulation of the local expansion rate driven by the local average density in an inhomogeneous universe
复制标题
非均匀宇宙中局部平均密度驱动的局部膨胀率的规范不变公式
DOI：
10.1093/ptep/ptad020
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发表时间：
2023
影响因子：
3.5
通讯作者：
T. Futamase
中科院分区：
文献类型：
--
作者：
M.Tomonaga;M. Kasai;T. Futamase
哈勃的张力给标准宇宙学蒙上了一层阴影。作为一个可能的解决方案，已提出的局部变化的膨胀率在有限域上的空间平均，以恢复局部弗里德曼行为在一个非均匀的宇宙学。然而，到目前为止，这些方法仅限于特定的规范选择，并且还不清楚结果是否是规范不变的。在本文中，我们提出了规范不变的局部膨胀率，这是由规范不变的非均匀密度的空间平均驱动的公式。我们证明了有限域中的局部宇宙学参数可以从整体参数变化，它们之间的关系可以用规范不变的平均密度来表示。
The Hubble tension casts a blight on the standard cosmology. As a possible solution to the problem, the local variation of the expansion rate has been proposed where the spatial averaging over a finite domain was introduced in order to restore the local Friedmannian behavior in an inhomogeneous cosmology. So far, however, the approaches are limited to the particular choices of the gauges, and it has been unclear whether the results are gauge invariant. In this paper, we present the gauge-invariant formulation of the local expansion rate, which is driven by the spatial average of the gauge-invariant inhomogeneous density. We show that the local cosmological parameters in the finite domain may change from the global parameters, and the relations between them are expressed by the gauge-invariant averaged density.