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• W3105693357 abstract "By using invariant theory we show that a (higher-dimensional) Lorentzian metric that is not characterised by its invariants must be of aligned type II; i.e., there exists a frame such that all the curvature tensors are simultaneously of type II. This implies, using the boost-weight decomposition, that for such a metric there exists a frame such that all positive boost-weight components are zero. Indeed, we show a more general result, namely that any set of tensors which is not characterised by its invariants, must be of aligned type II. This result enables us to prove a number of related results, among them the algebraic VSI conjecture." @default.
• W3105693357 created "2020-11-23" @default.
• W3105693357 creator A5064302951 @default.
• W3105693357 date "2011-09-22" @default.
• W3105693357 modified "2023-09-24" @default.
• W3105693357 title "A spacetime not characterized by its invariants is of aligned type II" @default.
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• W3105693357 doi "https://doi.org/10.1088/0264-9381/28/21/215009" @default.
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