Vortices in the Bogomol'nyi limit of Einstein-Maxwell-Higgs theory with or without external sources.

The Abelian Higgs model with or without external particles is considered in curved space. Using the dual transformation, we rewrite the model in terms of dual gauge elds and derive the Bogomol'nyi-type bound. We nd all possible cylindrically symmetric vortex solutions and vortex-particle composites by examining the Einstein equations and the rstorder Bogomol'nyi equations. The underlying spatial manifold of these objects comprises a cylinder asymptotically and a two sphere in addition to the well-known cone. Present address: Department of Physics, Nagoya University, Nagoya 461-01, Japan, e-mail: [email protected]