All spacetimes with vanishing curvature invariants

By V. Pravda, A. Pravdová, Alan Coley, Robert Milson. 2002

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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.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5faa34d9697606d10ad5fb5cccf4054b150124a1