A Characterization of the Einstein Tensor in Terms of Spinors

Authors

Ian M. Anderson, Utah State UniversityFollow
D. Lovelock

Document Type

Article

Journal/Book Title/Conference

Journal of Mathematical Physics

Volume

17

Issue

6

Publication Date

1976

First Page

1001

Last Page

1003

Abstract

All tensors of contravariant rank two which are divergence‐free on one index, concomitants of a spinor field σ_iAX′ together with its first two partial derivatives, and scalars under spin transformations are constructed. The Einstein and metric tensors are the only candidates.

Comments

Published by American Institute of Physics in Journal of Mathematical Physics. Publisher PDF is available for download through link above.

Recommended Citation

A Characterization of the Einstein Tensor in Terms of Spinors (with D. Lovelock), J. Math. Phys. 17 (1976), 1001–1003.