Coordinate-free Solutions for Cosmological Superspace
Astrophysics
2014-10-13 v1 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
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.
Cite
@article{arxiv.astro-ph/9801161,
title = {Coordinate-free Solutions for Cosmological Superspace},
author = {D. S. Salopek},
journal= {arXiv preprint arXiv:astro-ph/9801161},
year = {2014}
}
Comments
11 pages, self-unpacking, uuencoded tex file, to be published in Physical Review D (1997)