Higher dimensional VSI spacetimes

Details Higher dimensional VSI spacetimes Higher dimensional VSI spacetimes

2006-11-03

arxiv.org/abs/gr-qc/0611019v2

Class.Quant.Grav.23:7431-7444,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, changes in second paragraph of the discussion

Scientific paper

10.1088/0264-9381/23/24/014

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.

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