Classification of the Ricci tensor

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Dec 1971 English Publisher:Springer Science and Business Media LLCJournal:Communications in Mathematical Physics, volume 20, pages 291-300 (issn: 0010-3616, eissn: 1432-0916,

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Authors: Ludwig, Garry; Scanlan, Gerry;

doi: 10.1007/bf01646625

Classification of the Ricci tensor

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Abstract

This paper contains a classification of the Ricci tensorRαβ. The method of derivation is analogous to the spinor version of the Petrov classification of the Weyl tensor. It is shown how the various classes are related to the number and type of eigenvectors and eigenvalues ofRαβ. The classification is useful in the geometrization of various fields. The case of a real scalar field is treated in detail.

Related Organizations

University of Alberta
Canada

Keywords

83.53, Applications of global differential geometry to the sciences

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