Understanding singularities in Cartan's and NSF geometric structures

Details Understanding singularities in Cartan's and NSF geometric structures Understanding singularities in Cartan's and NSF geometric structures

2001-02-27

arxiv.org/abs/gr-qc/0102106v1

J.Math.Phys. 43 (2002) 1584-1597

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, 2 figures

Scientific paper

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.

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