4.4 Article

All spacetimes with vanishing curvature invariants

Journal

CLASSICAL AND QUANTUM GRAVITY
Volume 19, Issue 23, Pages 6213-6236

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/19/23/318

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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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