The Gravitational Field of a Twisted Skyrmion String

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.

5 pages, no figure, presented at ICMNS Bandung, Indonesia, 2 Nov 2014 and submitted to AIP Conference Proceedings