Some Spinor-Curvature Identities

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.

5 pages Plain TeX, NCU-GR-93-SSCI

References in corpus (2)

• Another positivity proof and gravitational energy localizations
• Ashtekar's New Variables and Positive Energy

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