Separation of variables in Einstein spaces. II. No ignorable coordinates
Abstract
We prove that the only Einstein spaces which admit a coordinate system with no ignorable coordinates which separates the HamiltonJacobi equation are certain symmetric spaces of Petrov typeD due to Kasner and the constantcurvature 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
 Publication:

General Relativity and Gravitation
 Pub Date:
 September 1980
 DOI:
 10.1007/BF00771864
 Bibcode:
 1980GReGr..12..733B