All tensors of contravariant rank two which are divergence‐free on one index, concomitants of a spinor field σiAX′ together with its first two partial derivatives, and scalars under spin transformations are constructed. The Einstein and metric tensors are the only candidates.
A Characterization of the Einstein Tensor in Terms of SpinorsJournal of Mathematical Physics
Citation InformationA Characterization of the Einstein Tensor in Terms of Spinors (with D. Lovelock), J. Math. Phys. 17 (1976), 1001–1003.