Abstract
Computes and classifies all Einstein spaces and their corresponding coordinate systems such that the Hamilton-Jacobi equation admits a separation of variables with two ignorable and one essential null coordinates. The authors find that all such spaces correspond to plane-fronted gravitational waves of Petrov type N. They also give necessary conditions which a general space-time must have in order to admit coordinates of the type studied. Furthermore, the integrability conditions for Helmholtz (Schrodinger) separability are completely solved.
Original language | English (US) |
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Article number | 023 |
Pages (from-to) | 1675-1684 |
Number of pages | 10 |
Journal | Journal of Physics A: Mathematical and General |
Volume | 14 |
Issue number | 7 |
DOIs | |
State | Published - Dec 1 1981 |