Coordinate-free Solutions for Cosmological Superspace
arXiv:astro-ph/9801161 · doi:10.1103/PhysRevD.56.2057
Abstract
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.
11 pages, self-unpacking, uuencoded tex file, to be published in Physical Review D (1997)
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