Vanishing scalar invariant spacetimes in higher dimensions

By Alan Coley, Robert Milson, V. Pravda, A. Pravdová. 2004

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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.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/cc611fb46fe56db12b40c62fd92e1fdb5ffe9b84