Null Surfaces and Legendre Submanifolds
General Relativity and Quantum Cosmology
2009-10-31 v1
Abstract
It is shown that the main variable Z of the Null Surface Formulation of GR is the generating function of a constrained Lagrange submanifold that lives on the energy surface H=0 and that its level surfaces Z=const. are Legendre submanifolds on that energy surface. The behaviour of the variable Z at the caustic points is analysed and a genralization of this variable is discussed.
Cite
@article{arxiv.gr-qc/9805027,
title = {Null Surfaces and Legendre Submanifolds},
author = {Mirta Iriondo and Carlos Kozameh and Alejandra Rojas},
journal= {arXiv preprint arXiv:gr-qc/9805027},
year = {2009}
}
Comments
28 pages, 7 figures