Physics
Scientific paper
Oct 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978gregr...9..879d&link_type=abstract
General Relativity and Gravitation, Volume 9, Issue 10, pp.879-887
Physics
18
Gravitation Theory
Scientific paper
In the Yang-Mills formulation of gravitational dynamics based uponSL(2,C) spin transformations acting on Dirac spinors, the vacuum field equations are ζR κα +C κρασ R ρσ = 0 and andtriangledown _{left[ {kappa ^R λ } right]v} = 0. HereR κα is the Ricci curvature andC μκαν is the Weyl conformal curvature; ξ is a coupling constant. We show the equivalence between solutions of these equations and the vacuum Einstein equationsR κα = 0. The proof uses the Newman-Penrose formalism.
Debney George
Fairchild Edward E.
Siklos Stephen T. C.
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