A Semilinear Wave Sector in Force-Free Electrodynamics
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908973413695488 |
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| author | Sanchez, Yafet E. Sanchez |
| author_facet | Sanchez, Yafet E. Sanchez |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_15630 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Semilinear Wave Sector in Force-Free Electrodynamics Sanchez, Yafet E. Sanchez General Relativity and Quantum Cosmology 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. |
| title | A Semilinear Wave Sector in Force-Free Electrodynamics |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2604.15630 |