A higher-dimensional generalization of the geodesic part of the Goldberg-Sachs theorem

Details A higher-dimensional generalization of the geodesic part of the Goldberg-Sachs theorem A higher-dimensional generalization of the geodesic part of the Goldberg-Sachs theorem

2009-08-19

arxiv.org/abs/0908.2771v1

Class. Quantum Grav. 26 (2009) 245005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages

Scientific paper

10.1088/0264-9381/26/24/245005

In more than four spacetime dimensions, a multiple Weyl-aligned null
direction (WAND) need not be geodesic. It is proved that any higher-dimensional
Einstein spacetime admitting a non-geodesic multiple WAND also admits a
geodesic multiple WAND. All five-dimensional Einstein spacetimes admitting a
non-geodesic multiple WAND are determined.

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