Hamilton-Jacobi theory for general relativity provides an elegant covariant
formulation of the gravitational field. A general `coordinate-free' method of
integrating the functional Hamilton-Jacobi equation for gravity and matter is
described. This series approximation method represents a large generalization
of the spatial gradient expansion that had been employed earlier. Additional
solutions may be constructed using a nonlinear superposition principle. This
formalism may be applied to problems in cosmology.Comment: 11 pages, self-unpacking, uuencoded tex file, to be published in
Physical Review D (1997
