All spacetimes with vanishing curvature invariants

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Published 14 November 2002 Published under licence by IOP Publishing Ltd
, , Citation V Pravda et al 2002 Class. Quantum Grav. 19 6213 DOI 10.1088/0264-9381/19/23/318

0264-9381/19/23/6213

Abstract

All Lorentzian spacetimes with vanishing invariants constructed from the Riemann tensor and its covariant derivatives are determined. A subclass of the Kundt spacetimes results and we display the corresponding metrics in local coordinates. Some potential applications of these spacetimes are discussed.

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10.1088/0264-9381/19/23/318