Using the Bondi-Sachs formalism, the problem of a gravitational wave source surrounded by a spherical dust shell is considered. Using linearized perturbation theory, the geometry is found in the regions: in the shell, exterior to the shell, and interior to the shell. It is found that the dust shell causes the gravitational wave to be modified, but without any energy being transferred to or from the dust.

中文翻译：

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低密度尘埃壳对引力波传播的影响

使用 Bondi-Sachs 形式主义，考虑了被球形尘埃壳包围的引力波源的问题。使用线性化微扰理论，可以在以下区域中找到几何形状：壳内、壳外和壳内。发现尘埃壳导致引力波被修改，但没有任何能量传递给尘埃或从尘埃传递出去。