General structure of the solutions of the Hamiltonian constraints of gravity
General Relativity and Quantum Cosmology
2009-07-22 v4
Abstract
A general framework for the solutions of the constraints of pure gravity is constructed. It provides with well defined mathematical criteria to classify their solutions in four classes. Complete families of solutions are obtained in some cases. A starting point for the systematic study of the solutions of Einstein gravity is suggested.
Keywords
Cite
@article{arxiv.0709.0884,
title = {General structure of the solutions of the Hamiltonian constraints of gravity},
author = {J. Martin and Antonio F. Rañada and A. Tiemblo},
journal= {arXiv preprint arXiv:0709.0884},
year = {2009}
}
Comments
17 pages, LaTeX, submitted to International J. of Geom. Meth. in Modern Physics. Added comments in the last section