General structure of the solutions of the Hamiltonian constraints of gravity
arXiv:0709.0884 · doi:10.1142/S0219887809003734
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.
17 pages, LaTeX, submitted to International J. of Geom. Meth. in Modern Physics. Added comments in the last section