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Solution of the Dirac equation in plane wave metric backgrounds

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Abstract

We present a new solution of the Dirac equation in the background of a plane wave metric. We examine the relation between sections of the exterior and Clifford bundles of a (pseudo-)Riemannian manifold. A spinor calculus is established and used to investigate a new solution of the Dirac equation lying in a minimal left ideal characterized by a certain idempotent projector.

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Authors and Affiliations

  1. Department of Computing, Mathematics and Science, Richmond The American International University in London, Surrey, TW10 6JP, UK

    Wathek Talebaoui

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  1. Wathek Talebaoui
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Correspondence to Wathek Talebaoui.

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Talebaoui, W. Solution of the Dirac equation in plane wave metric backgrounds. Gen Relativ Gravit 37, 1035–1044 (2005). https://doi.org/10.1007/s10714-005-0089-9

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  • DOI: https://doi.org/10.1007/s10714-005-0089-9

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