Higher dimensional VSI spacetimes
General Relativity and Quantum Cosmology
2009-11-11 v2 High Energy Physics - Theory
Abstract
We present the explicit metric forms for higher dimensional vanishing scalar invariant (VSI) Lorentzian spacetimes. We note that all of the VSI spacetimes belong to the higher dimensional Kundt class. We determine all of the VSI spacetimes which admit a covariantly constant null vector, and we note that in general in higher dimensions these spacetimes are of Ricci type III and Weyl type III. The Ricci type N subclass is related to the chiral null models and includes the relativistic gyratons and the higher dimensional pp-wave spacetimes. The spacetimes under investigation are of particular interest since they are solutions of supergravity or superstring theory.
Keywords
Cite
@article{arxiv.gr-qc/0611019,
title = {Higher dimensional VSI spacetimes},
author = {A. Coley and A. Fuster and S. Hervik and N. Pelavas},
journal= {arXiv preprint arXiv:gr-qc/0611019},
year = {2009}
}
Comments
14 pages, changes in second paragraph of the discussion