The Intrinsic Structure of the Petrov Classification

Details The Intrinsic Structure of the Petrov Classification The Intrinsic Structure of the Petrov Classification

Jul 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001rfg..conf..353p&link_type=abstract

REFERENCE FRAMES AND GRAVITOMAGNETISM. Proceedings of the XXIII Spanish Relativity Meeting. Held 6-9 September 2000 in Valladoli

Computer Science

Scientific paper

We give a new presentation of the Petrov classification of Einstein spaces. In our approach, the space of bivectors Λ2, which underlies the double 2-form nature of the Riemann tensor, is treated as subspace of the whole Grassmann space Λ, on which the Clifford geometric algebra is naturally defined. We use this product to make explicit the intrinsic complex structure that bivector space contains, without introducing any imaginary unit i.

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