English

VSI_i spacetimes and the epsilon-property

General Relativity and Quantum Cosmology 2016-08-16 v1

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.

Keywords

Cite

@article{arxiv.gr-qc/0503040,
  title  = {VSI_i spacetimes and the epsilon-property},
  author = {N. Pelavas and A. Coley and R. Milson and V. Pravda and A. Pravdová},
  journal= {arXiv preprint arXiv:gr-qc/0503040},
  year   = {2016}
}

Comments

To appear in JMP