Spinor-valued forms and a variational principle for Einstein's vacuum equations

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Scientific paper

An action principle is presented in which the field variables are a 0264-9381/13/2/019/img1-valued connection 1-form, two spinor valued 1-forms and two spinor-valued 2-forms. An identification of the field equations with the complex Einstein vacuum equations is made. The relationship of this Lagrangian to other known Lagrangian formalisms is demonstrated and a Grassmann algebra formulation is also presented.

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