Separation of variables in Einstein spaces. I. Two ignorable and one null coordinate

C. P. Boyer, E. G. Kalnins, W. Miller

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

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 languageEnglish (US)
Article number023
Pages (from-to)1675-1684
Number of pages10
JournalJournal of Physics A: Mathematical and General
Volume14
Issue number7
DOIs
StatePublished - Dec 1 1981

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