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arxiv: 1307.7782 · v1 · pith:VNX34D3Jnew · submitted 2013-07-30 · 🌀 gr-qc · astro-ph.HE

Hyperbolicity of Force-Free Electrodynamics

Harald P. Pfeiffer , Andrew I. MacFadyen This is my paper
classification 🌀 gr-qc astro-ph.HE
keywords equationshyperbolicanalyzebehaviorcasedensitydominantdynamics
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We analyze the equations of relativistic magnetized plasma dynamics in the limiting case that electromagnetic stress-energy is dominant over pressure and rest mass energy density. The naive formulation of these equations is shown to be not hyperbolic. Modifying the equations by terms that vanish for all physical solutions, we obtain a symmetric hyperbolic evolution system, which should exhibit improved numerical behavior.

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  1. A Semilinear Wave Sector in Force-Free Electrodynamics

    gr-qc 2026-04 unverdicted novelty 6.0

    An ansatz reduces force-free electrodynamics in Minkowski space to a semilinear wave equation, enabling explicit solutions including type-changing and kink-type field configurations.