English

The hyperbolic Ernst--Maxwell equations in a triangular domain

Analysis of PDEs 2019-12-12 v2

Abstract

In a recent paper, we applied Riemann--Hilbert techniques to analyze the Goursat problem for the hyperbolic Ernst equation, which describes the interaction of two colliding gravitational plane waves. Here we generalize this approach to colliding electromagnetic plane waves in Einstein--Maxwell theory.

Cite

@article{arxiv.1811.10473,
  title  = {The hyperbolic Ernst--Maxwell equations in a triangular domain},
  author = {Julian Mauersberger},
  journal= {arXiv preprint arXiv:1811.10473},
  year   = {2019}
}

Comments

25 pages, 5 figures

R2 v1 2026-06-23T05:28:16.741Z