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arXiv · 1506.01101

The Gravitational Field of a Twisted Skyrmion String

Miftachul Hadi·Malcolm Anderson·Andri Husein
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Abstract

In this paper we study the gravitational field of a straight string generated from a class of nonlinear sigma models, specifically the Skyrme model with a twist (the twisted Skyrmion string). The twist term, mkz, is included to stabilize the vortex solution. To model the effects of gravity, we replace the Minkowski tensor, $\eta^{\mu\nu}$, in the standard Skyrme Lagrangian density with a space-time metric tensor, $g^{\mu\nu}$, assumed to be static and cylindrically symmetric. The Einstein equations for the metric and field components are then derived. This work is still in progress.

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Miftachul Hadi, Malcolm Anderson, Andri Husein. 2015-06-03. The Gravitational Field of a Twisted Skyrmion String. https://arxiv.org/abs/1506.01101

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