Cosmic strings in the Abelian Higgs model with conformal coupling to gravity - art. no. 105015

Cosmic string solutions of the Abelian Higgs model with conformal coupling to gravity are shown to exist. The main characteristics of the solutions ar e presented and the differences with respect to the minimally coupled case are studied. An important difference is the absence of Bogomol'nyi cosmic s tring solutions for conformal coupling. Several new features of the Abelian Higgs cosmic strings of both types are discussed. The most interesting is perhaps a relation between the angular deficit and the central magnetic fie ld which is bounded by a critical value. [S0556-2821(99)02210-9].