Energy conditions for non-timelike thin shells
| Autor: | Maeda, Hideki |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Class.Quant.Grav. 40 (2023) 19, 195009 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1361-6382/acf181 |
| Popis: | We study energy conditions for non-timelike thin shells in arbitrary $n(\ge 3)$ dimensions. It is shown that the induced energy-momentum tensor $t_{\mu\nu}$ on a shell $\Sigma$ is of the Hawking-Ellis type I if $\Sigma$ is spacelike and either of type I, II, or III if $\Sigma$ is null. Then, we derive simple equivalent representations of the standard energy conditions for $t_{\mu\nu}$. In particular, on a spacelike shell or on a null shell with non-vanishing surface current, $t_{\mu\nu}$ inevitably violates the dominant energy condition. If the surface pressure on the null shell is vanishing in addition, $t_{\mu\nu}$ 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. Comment: 35 pages, 4 figures, 2 tables; v2, title shortened, final version to appear in Classical and Quantum Gravity |
| Databáze: | arXiv |
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