Algebraic classification of five-dimensional spacetimes using scalar invariants

There are a number of algebraic classifications of spacetimes in higher dimensions utilizing alignment theory, bivectors and discriminants. Previous work gave a set of necessary conditions in terms of discriminants for a spacetime to be of a particular algebraic type. We demonstrate the discriminant...

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Bibliographic Details
Published inarXiv.org
Main Authors Coley, A A, Hervik, S, Durkee, M N, Godazgar, M
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 12.05.2011
Subjects
Algebra
Physics - General Relativity and Quantum Cosmology
Spacetime
Supersymmetry
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Summary:There are a number of algebraic classifications of spacetimes in higher dimensions utilizing alignment theory, bivectors and discriminants. Previous work gave a set of necessary conditions in terms of discriminants for a spacetime to be of a particular algebraic type. We demonstrate the discriminant approach by applying the techniques to the Sorkin-Gross-Perry soliton, the supersymmetric and doubly-spinning black rings and some other higher dimensional spacetimes. We show that even in the case of some very complicated metrics it is possible to compute the relevant discriminants and extract useful information from them.
ISSN:2331-8422
DOI:10.48550/arxiv.1105.2355