Covariant Hyperbolization of Force-free Electrodynamics

Understand

Force-Free Flectrodynamics (FFE) is a non-linear system of equations modeling the evolution of the electromagnetic field, in the presence of a magnetically dominated relativistic plasma.

• This configuration arises on several astrophysical scenarios, which represent exciting laboratories to understand physics in extreme regimes.
• We show that this system, when restricted to the correct constraint submanifold, is symmetric hyperbolic.
• In numerical applications is not feasible to keep the system in that submanifold, and so, it is necessary to analyze its structure first in the tangent space of that submanifold and then in a whole neighborhood of it.