English

Foliations of Minkowski $2+1$ spacetime by crooked planes

Differential Geometry 2013-12-24 v1

Abstract

Given a regular curve in Minkowski spacetime, we describe necessary and sufficient conditions for this curve to admit a family of pairwise-disjoint crooked planes. Using this criterion, we describe crooked foliations along orbit curves of one-parameter groups of Lorentzian isometries.

Keywords

Cite

@article{arxiv.1312.6674,
  title  = {Foliations of Minkowski $2+1$ spacetime by crooked planes},
  author = {Virginie Charette and Youngju Kim},
  journal= {arXiv preprint arXiv:1312.6674},
  year   = {2013}
}