Phys. Rev. D 56, 2057–2064 (1997)Coordinate-free solutions for cosmological superspaceReceived 5 March 1997; published in the issue dated 15 August 1997 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. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.56.2057
DOI:
10.1103/PhysRevD.56.2057
PACS:
98.80.Hw
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