The post-Newtonian metric of a self-gravitating and collapsing thin spherical shell

Wenbin Lin

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arXiv · 2402.05134

The post-Newtonian metric of a self-gravitating and collapsing thin spherical shell

Wenbin Lin

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Abstract

We calculate the metric for a self-gravitating and collapsing infinitely-thin spherical shell under the theory of post-Newtonian approximation, and successfully recover the shell's energy-momentum tensor from the achieved metric. The post-Newtonian dynamic equations of the test particles inside and outside the shell are achieved respectively. It is demonstrated that the radial motion of the spherically-symmetric system can contribute to the second gravitational potential and the gravitomagnetic field, inducing the time-dependent gravitational effects.

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Wenbin Lin. 2024-02-06. The post-Newtonian metric of a self-gravitating and collapsing thin spherical shell. https://arxiv.org/abs/2402.05134

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