Algebraic classification of the matter tensor
Abstract
A study is made of the “matter tensor”, which is constructed using only the energy tensor and the metric tensor and has all the algebraic properties of the Riemann tensor. The possible types of matter tensor are classified in the same way as Petrov's classification for the Weyl tensor, and the relationship between the matter tensor and the canonical forms of the corresponding energy tensors is established.
 Publication:

Soviet Physics Journal
 Pub Date:
 December 1973
 DOI:
 10.1007/BF00893667
 Bibcode:
 1973SvPhJ..16.1708D