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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | https://arxiv.org/abs/2306.07326 |
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| _version_ | 1866908818517000192 |
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| author | Maeda, Hideki |
| author_facet | Maeda, Hideki |
| contents | We study energy conditions for non-timelike thin shells in arbitrary $n(\ge 3)$ dimensions. It is shown that the induced energy-momentum tensor $t_{μν}$ on a shell $Σ$ is of the Hawking-Ellis type I if $Σ$ is spacelike and either of type I, II, or III if $Σ$ is null. Then, we derive simple equivalent representations of the standard energy conditions for $t_{μν}$. In particular, on a spacelike shell or on a null shell with non-vanishing surface current, $t_{μν}$ inevitably violates the dominant energy condition. If the surface pressure on the null shell is vanishing in addition, $t_{μν}$ is of type III and violates all the standard energy conditions. Those fully general results are obtained without imposing a spacetime symmetry and can be used in any theory of gravity. Lastly, several applications of the main results are presented in general relativity in four dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_07326 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Energy conditions for non-timelike thin shells Maeda, Hideki General Relativity and Quantum Cosmology We study energy conditions for non-timelike thin shells in arbitrary $n(\ge 3)$ dimensions. It is shown that the induced energy-momentum tensor $t_{μν}$ on a shell $Σ$ is of the Hawking-Ellis type I if $Σ$ is spacelike and either of type I, II, or III if $Σ$ is null. Then, we derive simple equivalent representations of the standard energy conditions for $t_{μν}$. In particular, on a spacelike shell or on a null shell with non-vanishing surface current, $t_{μν}$ inevitably violates the dominant energy condition. If the surface pressure on the null shell is vanishing in addition, $t_{μν}$ is of type III and violates all the standard energy conditions. Those fully general results are obtained without imposing a spacetime symmetry and can be used in any theory of gravity. Lastly, several applications of the main results are presented in general relativity in four dimensions. |
| title | Energy conditions for non-timelike thin shells |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2306.07326 |