Nearly collinear Maxwell waves in the Einstein-Maxwell system
Year: 2026
Type: preprint
Abstract: For two complexified, nearly collinear null Maxwell waves, the screen component of the bilinear energy-momentum tensor carries a factor k·l. The Einstein propagator on the phase q=k+l carries the denominator q^2=2k·l, and the tidal projection produces two further factors of k·l. The small divisor is removable. The tidal curvature of the cross interaction is (k·l)^2 times a bilinear form bounded in the collinear limit, and the coefficient does not depend on the common frequency. Since k·l=-(1-cos psi), the interaction is O(psi^4). An exact pp-wave family shows that, at exact resonance, the curvature stays O(a^2) while a coordinate derivative of the metric grows like N a^2. A uniform nonlinear WKB evolution is stated as a conjecture and is not used in any proof. The record contains the English version (main file), a faithful Portuguese version, and the supplementary archive (TeX sources, verification script, figure and table). Paper 2 of 2 on paraxial Einstein-Maxwell data.
Author: de Melo, Fábio Dayan Soares
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225811421
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