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.
- Received 5 March 1997
DOI:https://doi.org/10.1103/PhysRevD.56.2057
©1997 American Physical Society
