Compact-like vortices in isotropic curved spacetime

TL;DR

This paper introduces a generalized Maxwell-Higgs model in curved spacetime, revealing how vortex solutions can be controlled and compressed by a parameter, with numerical analysis of energy and magnetic field profiles.

Contribution

It presents a novel generalized Maxwell-Higgs model in curved spacetime and explores vortex solutions influenced by a tunable parameter, expanding understanding of compact-like vortices.

Findings

Vortex solutions are controllable via a single parameter.

Vortices tend to compress as the parameter increases.

Numerical analysis shows energy and magnetic field behaviors.

Abstract

We introduced a generalized Maxwell-Higgs model in a $(3+1)$ isotropic spacetime, and we found their stationary solutions using the BPS approach in curved spacetime. In order to investigate the compact-like vortices, we assume a particular choice for the generalization term. The model is controlled by a potential driven by a single real parameter that can be used to change the vortex solutions profile as they approach their bound values. Resembling some flat spacetime vortex solutions, our model tends to compress the vortices when the parameter $l$ increases. Through numerical analysis, we also show the energy behavior and the magnetic field of the model.