The post-Newtonian metric of a self-gravitating and collapsing thin spherical shell
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912059199848448 |
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| author | Lin, Wenbin |
| author_facet | Lin, Wenbin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_05134 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The post-Newtonian metric of a self-gravitating and collapsing thin spherical shell Lin, Wenbin General Physics 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. |
| title | The post-Newtonian metric of a self-gravitating and collapsing thin spherical shell |
| topic | General Physics |
| url | https://arxiv.org/abs/2402.05134 |