Sourceless Abelian gauge string in a Robertson-Walker universe with general spatial curvature

Abstract

A model of sourceless Abelian gauge string was examined by J. R. Morris (1991) in a Robertson-Walker universe with a flat 3-space. We generalize this result to the case of positive or negative spatial curvatures. We find that creation or destruction of the gauge string is possible only if the spatial curvature is zero or positive but no nonstatic solution of the string satisfies the boundary conditions in a Robertson-Walker model with negative spatial curvature