Some Spinor-Curvature Identities
General Relativity and Quantum Cosmology
2010-04-06 v1
Abstract
We describe a class of spinor-curvature identities which exist for Riemannian or Riemann-Cartan geometries. Each identity relates an expression quadratic in the covariant derivative of a spinor field with an expression linear in the curvature plus an exact differential. Certain special cases in 3 and 4 dimensions which have been or could be used in applications to General Relativity are noted.
Cite
@article{arxiv.gr-qc/9403026,
title = {Some Spinor-Curvature Identities},
author = {James M. Nester and Roh Suan Tung and Vadim V. Zhytnikov},
journal= {arXiv preprint arXiv:gr-qc/9403026},
year = {2010}
}
Comments
5 pages Plain TeX, NCU-GR-93-SSCI