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2004 Class. Quantum Grav. 21 5519-5542 doi: 10.1088/0264-9381/21/23/014
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Abstract. We study manifolds with Lorentzian signature and prove that all scalar curvature invariants of all orders vanish in a higher dimensional Lorentzian spacetime if and only if there exists an aligned non-expanding, non-twisting, geodesic null direction along which the Riemann tensor has negative boost order.
PACS numbers: 04.20.Jb, 02.40.−k
Print publication: Issue 23 (7 December 2004) |
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