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All spacetimes with vanishing curvature invariants

V Pravda et al 2002 Class. Quantum Grav. 19 6213-6236   doi: 10.1088/0264-9381/19/23/318  Help

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V Pravda1, A Pravdová1, A Coley2 and R Milson2
1 Mathematical Institute, Academy of Sciences, Zitná 25, 115 67 Prague 1, Czech Republic
2 Department of Mathematics and Statistics, Dalhousie U, Halifax, Nova Scotia, Canada B3H 3J5
E-mail: pravda@math.cas.cz, pravdova@math.cas.cz, aac@mathstat.dal.ca and milson@mathstat.dal.ca

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.

PACS numbers: 0420, 0420J, 0240

Print publication: Issue 23 (7 December 2002)
Received 14 August 2002, in final form 10 October 2002
Published 14 November 2002

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