Averaging spherically symmetric spacetimes in general relativity
Averaging spherically symmetric spacetimes in general relativity
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DOI：
10.1103/physrevd.74.087301
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发表时间：
2006-10-01
影响因子：
5
通讯作者：
Pelavas, N.
中科院分区：
文献类型：
--
作者：
Coley, A. A.;Pelavas, N.
本文利用保体积坐标系中球对称情形下的宏观引力方程的形式，讨论了广义相对论中的平均问题。特别地，我们在对非均匀引力场和物质分布的形式作了一些合理假设的情况下，计算了关联张量的形式。在宇宙学尺度上，弗里德曼-勒梅特-罗伯逊-沃克（FLRW）背景中的相关张量被发现具有空间曲率的形式。在天体物理尺度上，相关张量可以解释为空间曲率和各向异性流体的总和。我们简要讨论这些结果的物理意义。
We discuss the averaging problem in general relativity, using the form of the macroscopic gravity equations in the case of spherical symmetry in volume preserving coordinates. In particular, we calculate the form of the correlation tensor under some reasonable assumptions on the form for the inhomogeneous gravitational field and matter distribution. On cosmological scales, the correlation tensor in a Friedmann-Lemaitre-Robertson-Walker (FLRW) background is found to be of the form of a spatial curvature. On astrophysical scales the correlation tensor can be interpreted as the sum of a spatial curvature and an anisotropic fluid. We briefly discuss the physical implications of these results.