Wainwright-Marshman时空中的非均匀性效应
Inhomogeneity effect in Wainwright-Marshman space-times
摘要：
格林和沃尔德提出了一个数学上严格的框架，在广义相对论中研究小尺度不均匀性对时空整体结构的影响。该框架依赖于存在的一个参数的家庭的度量，以某种方式接近有效的背景度量。虽然没有必要知道这个家族的确切形式来预测逆反应效应的性质，但找到明确的例子将是有益的。在本文中，我们提供了第一个例子，这样一个家庭的精确非真空解的爱因斯坦方程。它属于Wainwright-Marshman类，满足Green-Wald框架的所有假设。
英文摘要：
Green and Wald have presented a mathematically rigorous framework to study, within general relativity, the effect of small scale inhomogeneities on the global structure of space-time. The framework relies on the existence of a one-parameter family of metrics that approaches the effective background metric in a certain way. Although it is not necessary to know this family in an exact form to predict properties of the backreaction effect, it would be instructive to find explicit examples. In this paper, we provide the first example of such a family of exact non-vacuum solutions to the Einstein's equations. It belongs to the Wainwright-Marshman class and satisfies all of the assumptions of the Green-Wald framework.
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