Compact-like vortices in isotropic curved spacetime

Highlights: • We study a generalized Maxwell–Higgs Abelian model in a (3 + 1) isotropic spacetime. • Their stationary solutions are found using the BPS approach in curved spacetime. • For some values of the parameter l, some vortices show compact-like features. • The gauge field can assume a characteristic similar to the step function. 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.