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dc.contributor.authorHervik, Sigbjørn
dc.contributor.authorColey, Alan
dc.date.accessioned2013-03-21T09:17:37Z
dc.date.available2013-03-21T09:17:37Z
dc.date.issued2011
dc.identifier.citationHervik, S and Coley, A. (2011). Pseudo-Riemannian VSI spaces. Classical and Quantum Gravity, 28(1)no_NO
dc.identifier.urihttp://hdl.handle.net/11250/182387
dc.descriptionThis is an author-created, un-copyedited version of an article accepted for publication in Classical and quantum gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at doi: doi:10.1088/0264-9381/28/1/015008no_NO
dc.description.abstractIn this paper we consider pseudo-Riemannian spaces of arbitrary sig- nature for which all of their polynomial curvature invariants vanish (VSI spaces). We discuss an algebraic classification of pseudo-Riemannian spaces in terms of the boost weight decomposition and define the Si- and N-properties, and show that if the curvature tensors of the space possess the N-property then it is a VSI space. We then use this result to construct a set of metrics that are VSI. All of the VSI spaces constructed possess a geodesic, expansion-free, shear-free, and twist-free null-congruence. We also discuss the related Walker metrics.no_NO
dc.language.isoengno_NO
dc.publisherIOP publishingno_NO
dc.subjectgeneral relativityno_NO
dc.subjectquantum cosmologyno_NO
dc.subjecthigh energy physicsno_NO
dc.subjectmathematical physicsno_NO
dc.titlePseudo-Riemannian VSI spacesno_NO
dc.typeJournal articleno_NO
dc.typePeer reviewedno_NO
dc.subject.nsiVDP::Mathematics and natural science: 400::Physics: 430no_NO
dc.source.volume28no_NO
dc.source.journalClassical and Quantum Gravityno_NO
dc.source.issue1no_NO
dc.identifier.doidoi:10.1088/0264-9381/28/1/015008


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