Coordinate-free Solutions for Cosmological Superspace

Details Coordinate-free Solutions for Cosmological Superspace Coordinate-free Solutions for Cosmological Superspace

1998-01-16

arxiv.org/abs/astro-ph/9801161v1

Phys.Rev. D56 (1997) 2057-2064

Astronomy and Astrophysics

Astrophysics

11 pages, self-unpacking, uuencoded tex file, to be published in Physical Review D (1997)

Scientific paper

10.1103/PhysRevD.56.2057

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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