Conditions for the separation of the Hamilton-Jacobi equation
- 1 November 1977
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 10 (11) , 1877-1885
- https://doi.org/10.1088/0305-4470/10/11/014
Abstract
Necessary and sufficient conditions for the separation of the Hamilton-Jacobi equation for the geodesics in an n-dimensional Riemannian or pseudo-Riemannian manifold are obtained. The integrability of these conditions is investigated and several results are found which are of particular interest in the four-dimensional space-times of general relativity.Keywords
This publication has 4 references indexed in Scilit:
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