Quadratic superconducting cosmic strings revisited**Contribution under the title of Exact 5-Dimensional Cosmic String Solutions to the International Conference on Dynamics and Thermodynamics of Black Holes and Naked Singularities II, Milan, Italy, May 2007.

Abstract

It has been shown that a 5-dimensional general-relativity action extended by appropriate quadratic terms admits a singular superconducting cosmic string solution. We search for cosmic strings endowed with similar and extended physical properties by directly integrating the non-linear matrix field equations thus avoiding the perturbative approach by which we constructed the above-mentioned exact solution. The most general superconducting cosmic string, subject to some constraints, will be derived and shown to be mathematically unique up to linear coordinate transformations mixing its Killing vectors. The most general solution, however, is not globally equivalent to the old one due to the existence of Killing vectors with closed orbits.