Understanding singularities in Cartan's and NSF geometric structures
General Relativity and Quantum Cosmology
2015-06-25 v1 Mathematical Physics
math.MP
Abstract
In this work we establish a relationship between Cartan's geometric approach to third order ODEs and the 3-dim Null Surface Formulation (NSF). We then generalize both constructions to allow for caustics and singularities that necessarily arise in these formalisms.
Cite
@article{arxiv.gr-qc/0102106,
title = {Understanding singularities in Cartan's and NSF geometric structures},
author = {Diego M. Forni and Mirta S. Iriondo and Carlos N. Kozameh and M. F. Parisi},
journal= {arXiv preprint arXiv:gr-qc/0102106},
year = {2015}
}
Comments
22 pages, 2 figures