CCNV Spacetimes and (Super)symmetries

Details CCNV Spacetimes and (Super)symmetries CCNV Spacetimes and (Super)symmetries

2008-09-03

arxiv.org/abs/0809.0707v1

Mathematics

Differential Geometry

11 pages

Scientific paper

It is of interest to study supergravity solutions preserving a non-minimal fraction of supersymmetries. A necessary condition for supersymmetry to be preserved is that the spacetime admits a Killing spinor and hence a null or timelike Killing vector. Spacetimes admitting a covariantly constant null vector (CCNV), and hence a null Killing vector, belong to the Kundt class. We investigate the existence of additional isometries in the class of higher-dimensional CCNV Kundt metrics.

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