General structure of the solutions of the Hamiltonian constraints of gravity

Details General structure of the solutions of the Hamiltonian constraints of gravity General structure of the solutions of the Hamiltonian constraints of gravity

2007-09-06

arxiv.org/abs/0709.0884v4

Int.J.Geom.Meth.Mod.Phys.6:631-644,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, LaTeX, submitted to International J. of Geom. Meth. in Modern Physics. Added comments in the last section

Scientific paper

10.1142/S0219887809003734

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.

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