VSI_i spacetimes and the epsilon-property

Details VSI_i spacetimes and the epsilon-property VSI_i spacetimes and the epsilon-property

2005-03-09

arxiv.org/abs/gr-qc/0503040v1

J.Math.Phys.46:063501,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To appear in JMP

Scientific paper

10.1063/1.1904707

We investigate Lorentzian spacetimes where all zeroth and first order curvature invariants vanish and discuss how this class differs from the one where all curvature invariants vanish (VSI). We show that for VSI spacetimes all components of the Riemann tensor and its derivatives up to some fixed order can be made arbitrarily small. We discuss this in more detail by way of examples.

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