VSI_i spacetimes and the epsilon-property
arXiv:gr-qc/0503040 · doi:10.1063/1.1904707
Abstract
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.
arXiv commentTo appear in JMP
References in corpus (6)
- All spacetimes with vanishing curvature invariants
- Vanishing Scalar Invariant Spacetimes in Higher Dimensions
- Curvature invariants in type N spacetimes
- A Class of Exact Classical Solutions to String Theory
- Geodesic motion in the Kundt spacetimes and the character of envelope singularity
- Two loop and all loop finite 4-metrics
Cited by in corpus (9)
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- Newman-Penrose formalism in higher dimensions: vacuum spacetimes with a non-twisting geodetic multiple Weyl aligned null direction
- Electromagnetic fields with vanishing scalar invariants
- A spacetime not characterised by its invariants is of aligned type II
- Nonvanishing Local Scalar Invariants even in VSI Spacetimes with all Polynomial Curvature Scalar Invariants Vanishing
- All metrics have curvature tensors characterised by its invariants as a limit: the ε-property