Nongeneric null vectors

Details Nongeneric null vectors Nongeneric null vectors

Sep 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993gregr..25..963b&link_type=abstract

General Relativity and Gravitation, Volume 25, Issue 9, pp.963-973

Physics

4

Scientific paper

We consider the generic condition for null directions at a fixed point. A nongeneric vector is one which violates the generic condition: a vectorX is nongeneric ifX cXd X[aRb]cd[e X f] = 0. The presence of null nongeneric vectors at a point can force the curvature tensor to be uniform, i.e., be that of a constant-curvature space; in particular, if there are 11 null nongeneric directions generically situated, then the curvature is uniform. For non-uniform curvature, the locus of nongeneric null directions must obey a cubic relation; examples show that it need not obey a linear relation.

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