Killing pairs and the empty space field equations

Details Killing pairs and the empty space field equations Killing pairs and the empty space field equations

Oct 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993gregr..25.1031v&link_type=abstract

General Relativity and Gravitation, Volume 25, Issue 10, pp.1031-1039

Physics

2

Scientific paper

The empty space field equations are investigated for each of the canonical forms obtained previously for the metrics of space-times admitting a surface generating Killing pair, one member of which is hypersurface orthogonal. It is found that the rational first integral of the geodesic equation, corresponding to the Killing pair, is always necessarily the ration of two linear first integrals.

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