A remark on the generalized Goldberg-Sachs theorem

Details A remark on the generalized Goldberg-Sachs theorem A remark on the generalized Goldberg-Sachs theorem

Oct 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975gregr...6..507k&link_type=abstract

General Relativity and Gravitation, Volume 6, Issue 5, pp.507-512

Physics

1

Scientific paper

Despite the elegant formulations of Kundt and Thompson[1], and Robinson and Schild[2], it is not obvious how general the generalized GoldbergSachs theorem[3] really is. A spacetime satisfying Einstein's equations with a null fluid source, for example, can elude the generalized theorem if, and only if, the null direction of the fluid is a fourfold repeated principal null direction of the Weyl tensor. An example of such a spacetime is presented.

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