Classical solutions in the Einstein-Born-Infeld-Abelian-Higgs model - art.no. 044001

We consider the classical equations of the Born-Infeld-Abelian-Higgs model (with and without coupling to gravity) in an axially symmetric ansatz. A nu merical analysis of the equations reveals that the (gravitating) Nielsen-Ol esen vortices are smoothly deformed by the Born-Infeld interaction, charact erized by a coupling constant beta (2), and that these solutions cease to e xist at a critical value of beta (2). When the critical value is approached , the length of the magnetic field on the symmetry axis becomes infinite.