Exact formulations of relativistic electrodynamics and magnetohydrodynamics with helically coupled scalar field

TL;DR

This paper develops exact formulations of relativistic electrodynamics and magnetohydrodynamics incorporating a helically coupled scalar field, providing covariant, ADM, and perturbation frameworks, including weak-gravity limits in cosmology.

Contribution

It introduces three exact formulations of relativistic electrodynamics and MHD with helical scalar coupling, extending previous models to fully nonlinear and perturbative regimes.

Findings

Derived covariant, ADM, and perturbation formulations.

Presented weak-gravity limit with relativistic fluid and fields.

Formulations applicable in cosmological contexts.

Abstract

We present the general relativistic electrodynamics and magnetohydrodynamics with a helically coupled scalar field. We consider three component system with the fluid, scalar field and electromagnetic fields with the helical coupling. We derive three exact formulations: the covariant formulation, the ADM formulation, and the fully nonlinear and exact perturbation formulation. We also derive the weak-gravity limit with fully relativistic fluid and fields. The latter two formulations are presented in the cosmological context.