Third-order geometrical null symmetries of gravitational fields

Details Third-order geometrical null symmetries of gravitational fields Third-order geometrical null symmetries of gravitational fields

Oct 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989gregr..21..997k&link_type=abstract

General Relativity and Gravitation, Volume 21, Issue 10, pp.997-1011

Physics

1

Scientific paper

The first-, the second-, and the third-order null Killing vectors in a gravitational field are explored separately. When an algebraically special Petrov-type free gravitational field isaligned with a source-free (nonnull/null) electromagnetic field, their common propagation vectorl a is shown to be a third-order null Killing vector field (ℒ l ℒ l ℒ l g ab = 0,ℒ l ℒ l g ab ≠ 0). When the two fields arenot aligned, the necessary and sufficient conditions for the existence of a third-order null symmetry are obtained in Newman-Penrose formalism.

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