Einstein-Dirac theory on gauge-natural bundles

Details Einstein-Dirac theory on gauge-natural bundles Einstein-Dirac theory on gauge-natural bundles

2002-01-24

arxiv.org/abs/gr-qc/0201079v2

Rept.Math.Phys. 52 (2003) 115-139

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX (20 pages, 2 runs). Enlarged introduction, corrected typos, updated references

Scientific paper

10.1016/S0034-4877(03)90007-3

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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