Affiliation:
1. Department of Mathematics, University of Pittsburgh, 301 Thackeray Hall, Pittsburgh, PA 15260, USA
Abstract
This paper applies the notion of relative Cauchy–Riemann (CR) embeddings to study two related questions. First, it answers negatively the question posed by Penrose whether every shear-free null rotating congruence is analytic. Second, it proves that, given any shear-free null rotating congruence in Minkowski space, there exists a null electromagnetic field that is null with respect to the given congruence. In the course of answering these questions, we introduce some new techniques for studying null electromagnetic fields and shear-free congruences, in general, based on the notion of a relative CR embedding.
Subject
General Physics and Astronomy,General Engineering,General Mathematics
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Spacetime foliations, quaternions and knotted light;International Journal of Geometric Methods in Modern Physics;2021-01-20