English

Spinor algebra and null solutions of the wave equation

Mathematical Physics 2015-05-18 v1 Differential Geometry math.MP

Abstract

In this paper we exploit the ideas and formalisms of twistor theory, to show how, on Minkowski space, given a null solution of the wave equation, there are precisely two null directions in kerdf\ker df, at least one of which is a shear-free ray congruence.

Keywords

Cite

@article{arxiv.1003.0268,
  title  = {Spinor algebra and null solutions of the wave equation},
  author = {Mohammad Wehbe},
  journal= {arXiv preprint arXiv:1003.0268},
  year   = {2015}
}