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Vanishing Scalar Invariant Spacetimes in Higher Dimensions

A. Coley·R. Milson·V. Pravda·A. Pravdova
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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.

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A. Coley, R. Milson, V. Pravda, A. Pravdova. 2004-11-17. Vanishing Scalar Invariant Spacetimes in Higher Dimensions. https://doi.org/10.1088/0264-9381%2F21%2F23%2F014

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