Coordinate-free solutions for cosmological superspace
- 15 August 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 56 (4) , 2057-2064
- https://doi.org/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.Keywords
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