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arXiv · 1504.01034

A Universal Spinor Bundle and the Einstein-Dirac-Maxwell Equation as a Variational Theory

Olaf Müller·Nikolai Nowaczyk
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Abstract

Not only the Dirac operator, but also the spinor bundle of a pseudo-Riemannian manifold depends on the underlying metric. This leads to technical difficulties in the study of problems where many metrics are involved, for instance in variational theory. We construct a natural finite dimensional bundle, from which all the metric spinor bundles can be recovered including their extra structure. In the Lorentzian case, we also give some applications to Einstein-Dirac-Maxwell theory as a variational theory and show how to coherently define a maximal Cauchy development for this theory.

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Olaf Müller, Nikolai Nowaczyk. 2015-10-06. A Universal Spinor Bundle and the Einstein-Dirac-Maxwell Equation as a Variational Theory. https://doi.org/10.1007/s11005-016-0929-4

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