Classification of String-like Solutions in Dilaton Gravity

TL;DR

This paper analyzes static string-like solutions in dilaton gravity coupled with the Abelian Higgs model, revealing continuous changes in asymptotic behavior and differences from non-dilatonic cases.

Contribution

It provides a detailed comparison of string-like solutions in dilaton gravity to the non-dilatonic case, highlighting new asymptotic behaviors and solution branches.

Findings

Solutions are flux tubes with non-asymptotically flat geometry.

Two branches of solutions exist with different asymptotic behaviors.

Asymptotic behavior varies continuously along solution branches.

Abstract

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