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HIGHER DIMENSIONAL VSI SPACETIMES

Coley, Alan and Fuster, Andrea and Hervik, Sigbjorn and Pelavas, Nicos (2006) HIGHER DIMENSIONAL VSI SPACETIMES. [Preprint]

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    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 ppwave spacetimes. The spacetimes under investigation are of particular interest since they are solutions of supergravity or superstring theory.

    Item Type: Preprint
    Additional Information: pubdom TRUE
    Uncontrolled Keywords: AARMS
    Subjects: 37-xx Dynamical systems and ergodic theory
    Faculty: UNSPECIFIED
    Depositing User: lingyun ye
    Date Deposited: 09 Jul 2007
    Last Modified: 27 Apr 2010 16:33
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/351

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