| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1894293 | Journal of Geometry and Physics | 2009 | 9 Pages |
Abstract
The conditions for RR-separation of variables for the conformally invariant Laplace–Beltrami equation on an nn-dimensional pseudo-Riemannian manifold are determined and compared with the conditions for the additive separation of the null geodesic Hamilton–Jacobi equation. The case of three-dimensions is examined in detail and it is proven that on any conformally flat manifold the two equations separate in the same coordinates.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Mark Chanachowicz, Claudia M. Chanu, Raymond G. McLenaghan,