C P Boyer et al 1981 J. Phys. A: Math. Gen. 14 1675 doi:10.1088/0305-4470/14/7/023
C P Boyer, E G Kalnins and W Miller
Show affiliationsComputes 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.
04.20.Gz Spacetime topology, causal structure, spinor structure
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 7 (1 July 1981)
C P Boyer et al 1981 J. Phys. A: Math. Gen. 14 1675
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