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Vanishing Scalar Invariant Spacetimes in Higher Dimensions
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Vanishing Scalar Invariant Spacetimes in Higher Dimensions
classification
gr-qc
hep-th
keywords
lorentzianscalaralignedalongboostcurvaturedimensionsdirection
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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.
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