A Semilinear Wave Sector in Force-Free Electrodynamics
General Relativity and Quantum Cosmology
2026-04-20 v1
Abstract
We introduce an ansatz for force-free electrodynamics in Minkowski spacetime under which the nonlinear system reduces to a semilinear scalar wave equation depending on two spacetime variables. This reduction yields explicit time-dependent solutions, including type-changing configurations with finite energy per unit transverse area and a null kink-type example. For traveling-wave solutions in the magnetically dominated regime, the kernel distribution of the field defines minimal field-sheet foliations.
Cite
@article{arxiv.2604.15630,
title = {A Semilinear Wave Sector in Force-Free Electrodynamics},
author = {Yafet E. Sanchez Sanchez},
journal= {arXiv preprint arXiv:2604.15630},
year = {2026}
}