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On the Velo-Zwanziger phenomenon

J. Frauendiener

math-pharXiv:math-ph/0207033

Abstract

The Rarita-Schwinger equation in a curved background and an external electromagnetic field is discussed. We analyse the equation in the 2-component spinor formalism and derive Buchdahl conditions for them. The result is that the equation can consistently be imposed only on Einstein manifolds with vanishing electromagnetic field.

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