SOME SPINOR-CURVATURE IDENTITIES

Authors
NESTER JM TUNG RS ZHYTNIKOV VV
Citation
Jm. Nester et al., SOME SPINOR-CURVATURE IDENTITIES, Classical and quantum gravity, 11(4), 1994, pp. 983-987
Citations number
8
Categorie Soggetti
Physics
Journal title
Classical and quantum gravity → ACNP
ISSN journal
02649381
Volume
11
Issue
4
Year of publication
1994
Pages
983 - 987
Database
ISI
SICI code
0264-9381(1994)11:4<983:SSI>2.0.ZU;2-Z
Abstract
We describe a class of spinor-curvature identities which exist for Rie mannian or Riemann-Cartan geometries. Each identity relates an express ion quadratic in the covariant derivative of a spinor field with an ex pression linear in the curvature plus an exact differential. Certain s pecial cases in three and four dimensions which have been or could be used in applications to general relativity are noted.