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arXiv · 1802.05129

Non-Twisting and Twisting Solutions of the Einstein Field Equations of a Skyrmionic String

Malcolm Anderson·Miftachul Hadi·Andri Husein
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Abstract

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.

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Malcolm Anderson, Miftachul Hadi, Andri Husein. 2018-02-13. Non-Twisting and Twisting Solutions of the Einstein Field Equations of a Skyrmionic String. https://arxiv.org/abs/1802.05129

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