All spacetimes with vanishing curvature invariants

Details All spacetimes with vanishing curvature invariants All spacetimes with vanishing curvature invariants

2002-09-07

arxiv.org/abs/gr-qc/0209024v1

Class.Quant.Grav.19:6213-6236,2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages

Scientific paper

10.1088/0264-9381/19/23/318

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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