Classical solutions in the Einstein-Born-Infeld-Abelian-Higgs model

TL;DR

This paper investigates classical vortex solutions in the Einstein-Born-Infeld-Abelian-Higgs model, showing how Born-Infeld interactions deform these solutions and identifying a critical coupling where solutions cease to exist.

Contribution

It provides a numerical analysis of vortex solutions with Born-Infeld interactions, revealing their deformation and existence limits in a gravitational context.

Findings

Vortices are smoothly deformed by Born-Infeld interactions.

Solutions disappear at a critical coupling constant.

Magnetic field length diverges at the critical point.

Abstract

We consider the classical equations of the Born-Infeld-Abelian-Higgs model (with and without coupling to gravity) in an axially symmetric ansatz. A numerical analysis of the equations reveals that the (gravitating) Nielsen-Olesen vortices are smoothly deformed by the Born-Infeld interaction, characterized by a coupling constant $\beta^2$, and that these solutions cease to exist 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.