A field-theoretical model for nonsingular global cosmic strings is presented. The model is a nonlinear sigma model with a potential term for a self-gravitating complex scalar field. Nonsingular stationary solutions with angular momentum and possibly linear momentum are obtained by assuming an oscillatory dependence of the scalar field on [Formula Presented], [Formula Presented], and [Formula Presented]. This dependence has an effect similar to gauging the global U(1) symmetry of the model, which is actually a Kaluza-Klein reduction from four to three spacetime dimensions. The method of analysis can be regarded as an extension of the gravito-electromagnetism formalism beyond the weak field limit. Some [Formula Presented] self-dual solutions are also discussed.
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|State||Published - 2004|