Classification of stringlike solutions in dilaton gravity

The static stringlike solutions of the Abelian Higgs model coupled to dilaton gravity are analyzed and compared to the nondilatonic case. Except for a special coupling between the Higgs Lagrangian and the dilaton, the solutions are flux tubes that generate a nonasymptotically flat geometry. Any point in parameter, space corresponds to two branches of solutions with two different asymptotic behaviors. Unlike the nondilatonic case, where one branch is always asymptotically conic, in the present case the asymptotic behavior changes continuously along each branch.