Non-Twisting and Twisting Solutions of the Einstein Field Equations of a Skyrmionic String
| Autor: | Anderson, Malcolm, Hadi, Miftachul, Husein, Andri |
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| Rok vydání: | 2018 |
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| Druh dokumentu: | Working Paper |
| Popis: | We construct non-linear sigma model plus Skyrme term (Skyrme model) with a twist in the gravitational field. We try to solve the Einstein field equations for small and large values of $r$, with and without twist. We prove that no non-twisting or twisting solutions extending from $r=0$ to $r=\infty$ exist. At last, we try to solve non-twisting and twisting solutions of the Einstein field equations with a finite radius. We find that there are no solutions with a finite radius that can satisfy the junction conditions at the boundary radius $r=r_b$, where $r_b$ is a finite radius. Comment: 15 pages, no figure. arXiv admin note: text overlap with arXiv:1505.05930 and arXiv:1710.01250; substantial text overlap with arXiv:1802.02459 |
| Databáze: | arXiv |
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