Vanishing Scalar Invariant Spacetimes in Higher Dimensions

Details Vanishing Scalar Invariant Spacetimes in Higher Dimensions Vanishing Scalar Invariant Spacetimes in Higher Dimensions

2004-10-15

arxiv.org/abs/gr-qc/0410070v2

Class.Quant.Grav.21:5519-5542,2004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

final version

Scientific paper

10.1088/0264-9381/21/23/014

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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