Mueller, Olaf and Nowaczyk, Nikolai (2017) A universal spinor bundle and the Einstein-Dirac-Maxwell equation as a variational theory. LETTERS IN MATHEMATICAL PHYSICS, 107 (5). pp. 933-961. ISSN 0377-9017, 1573-0530
Full text not available from this repository. (Request a copy)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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | GLOBALLY HYPERBOLIC MANIFOLDS; HARMONIC GAUGE; CONNECTIONS; METRICS; TIME; Spin geometry; Spinor bundle; Jet spaces; Natural constructions; Einstein-Dirac-Maxwell equation; Cauchy development |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Bernd Ammann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 13:10 |
| Last Modified: | 21 Mar 2019 16:18 |
| URI: | https://pred.uni-regensburg.de/id/eprint/995 |
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