Separation of variables in Einstein spaces. II. No ignorable coordinates

Details Separation of variables in Einstein spaces. II. No ignorable coordinates Separation of variables in Einstein spaces. II. No ignorable coordinates

Sep 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980gregr..12..733b&link_type=abstract

General Relativity and Gravitation, Volume 12, Issue 9, pp.733-741

Physics

Scientific paper

We prove that the only Einstein spaces which admit a coordinate system with no ignorable coordinates which separates the Hamilton-Jacobi equation are certain symmetric spaces of Petrov typeD due to Kasner and the constant-curvature de Sitter spaces. We also show that a space admitting a coordinate system with no ignorable coordinates which separates the Helmholtz (Schrödinger) equation must be of Petrov type

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