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Spinor-helicity and the algebraic classification of higher-dimensional spacetimes

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Original languageEnglish
Number of pages47
JournalClassical and quantum gravity
Publication statusPublished - 19 Feb 2019


The spinor-helicity formalism is an essential technique of the amplitudes community. We draw on this method to construct a scheme for classifying higher-dimensional spacetimes in the style of the four-dimensional Petrov classification and the Newman-Penrose formalism. We focus on the five-dimensional case for concreteness. Our spinorial scheme naturally reproduces the full structure previously seen in both the CMPP and de Smet classifications, and resolves longstanding questions concerning the relationship between the two classifications.

    Research areas

  • gr-qc, hep-th

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