Gravitating Stationary Dyons and Rotating Vortex Rings

TL;DR

This paper constructs new stationary, axially symmetric solutions in Einstein-Yang-Mills-Higgs theory, including dyons, monopole-antimonopole pairs, and vortex rings, revealing novel properties of their charge and angular momentum.

Contribution

It introduces the first known solutions of dyons with magnetic charge n≥2 and vortex rings with finite angular momentum in Einstein-Yang-Mills-Higgs theory.

Findings

Dyons with magnetic charge n≥2 are non-static with zero angular momentum.

Monopole-antimonopole pairs and vortex rings have zero magnetic charge but finite angular momentum.

Solutions are stationary, axially symmetric, and asymptotically flat.

Abstract

We construct dyons, and electrically charged monopole-antimonopole pairs and vortex rings in Yang-Mills-Higgs theory coupled to Einstein gravity. The solutions are stationary, axially symmetric and asymptotically flat. The dyons with magnetic charge $n\ge 2$ represent non-static solutions with vanishing angular momentum. The electrically charged monopole-antimonopole pairs and vortex rings, in contrast, possess vanishing magnetic charge, but finite angular momentum, equaling $n$ times their electric charge.