Abstract:
The Lorentzian and spin structures of general relativity are shown to allow a natural extension, by means of which the set of possible electromagnetic bundles is linked to the topology and geometry of the underlying causal structure. Further, both the Dirac operator and the electromagnetic potential are obtainable from a single linear connection 1-form.
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Received: 12 February 1999 / Accepted: 6 July 1999
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Horie, K. Fibre Bundle for Spin and Charge in General Relativity. Comm Math Phys 209, 263–273 (2000). https://doi.org/10.1007/s002200050021
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DOI: https://doi.org/10.1007/s002200050021