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Einstein-Dirac theory on gauge-natural bundles

Paolo Matteucci

gr-qcarXiv:gr-qc/0201079

Abstract

We present a clear-cut example of the importance of the functorial approach of gauge-natural bundles and the general theory of Lie derivatives for classical field theory, where the sole correct geometrical formulation of Einstein (-Cartan) gravity coupled with Dirac fields gives rise to an unexpected indeterminacy in the concept of conserved quantities.

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