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We construct gravitating superconducting string solutions of the U(1)_{local}x U(1)_{global} model solving the coupled system of Einstein and matter fieldequations numerically. We study the properties of these solutions in dependenceon the ratio between the symmetry breaking scale and the Planck mass. Using themacroscopic stability conditions formulated by Carter, we observe that thecoupling to gravity allows for a new stable region that is not present in theflat space-time limit. We match the asymptotic metric to the Kasner metric andshow that the relations between the Kasner coefficients and the energy per unitlength and tension suggested previously are well fulfilled for symmetrybreaking scale much smaller than the Planck mass. We also study the solutionsto the geodesic equation in this space-time. While geodesics in the exteriorspace-time of standard cosmic strings are just straight lines, test particlesexperience a force in a general Kasner space-time and as such bound orbits arepossible.

Gravitating superconducting strings with timelike or spacelike currents