CHARGED BLACK COSMIC-STRING

We study the global U(1) string coupled to gravity in the presence of a negative cosmological constant. We obtain the static straight-string solution with no curvature singularity. The (2 + 1)D spacetime orthog onal to the string direction is characterized by the regular hyperbolo id, the extremal black hole with one horizon or the charged black hole with two horizons according to the scale of the cosmological constant . The relationship between the topological charge of a neutral global string and the black-hole charge is clarified by a duality transformat ion. The cosmological relevance of these solutions is briefly discusse d.