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Coordinate-free Solutions for Cosmological Superspace

D. S. Salopek
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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.

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BibTeXRIS

D. S. Salopek. 1998-01-16. Coordinate-free Solutions for Cosmological Superspace. https://doi.org/10.1103/physrevd.56.2057

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