Coupled field solutions for U(1)-gauge cosmic strings

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Abstract
Numerical solutions for the coupled Einstein-scalar-gauge field equations of a static, infinitely long, straight, U(1)-gauge cosmic string are obtained. The boundary conditions at the axis of the string and at radial infinity are chosen such that the solutions represent an isolated string; that is, the metric fields of the string approach Minkowski spacetime minus a wedge at radial infinity. The numerical solutions for the metric, scalar, and gauge fields, and for the components of the energy-momentum tensor, are classified according to the energy scale of symmetry breaking and the mass ratio of the scalar and gauge fields of the strings.