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- W3210985432 abstract "The Petrov classification of spacetime curvature tensors is an algebraic characterization: distinct types have differing multiplicities for their distinct principal null directions. However, a geometrical characterization of a set of vectors requires examining their linear independence, further quantified by the dimension of the spacetime volume they span. We further classify Petrov type I spacetimes as strong type I when the distinct principal null directions are linearly independent and span a 4-space, and weak type I otherwise. A similar distinction applies to Petrov type II spacetimes, whose principal null directions may span a space of dimension 3 or less." @default.
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- W3210985432 date "2021-11-01" @default.
- W3210985432 modified "2023-09-27" @default.
- W3210985432 title "Strengthening the notion of Petrov type I spacetimes" @default.
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