Self-gravitating line sources of weak hypercharge

We explore the role of a generalized Cremmer-Scherk mechanism of mass generation by coupling the antisymmetric 3-form gauge field to an Abelian gauge potential carrying weak hypercharge. The theory admits a class of exact self-gravitating solutions in the spontaneously broken phase in which dual fields acquire massive perturbative modes. Despite the massive nature of these fields they admit non-perturbative progressive longitudinal modes that together with pp-type gravitational waves travel in a direction of a line source at the speed of light.