Higher dimensional VSI spacetimes

A. Coley, A. Fuster, S. Hervik, N. Pelavas

Research output: Contribution to journalArticleAcademicpeer-review

54 Citations (Scopus)
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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.
Original languageEnglish
Pages (from-to)7431-7444
Number of pages14
JournalClassical and Quantum Gravity
Publication statusPublished - 2006


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