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Spinor and Twistor Geometry in Einstein Gravity and Finsler Modifications

Vacaru, Sergiu

In: Advances in Applied Clifford Algebras, 2015, vol. 25, no. 2, p. 453-485

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    Titel
    • Spinor and Twistor Geometry in Einstein Gravity and Finsler Modifications
    Autor
    • Vacaru, Sergiu. Associated visiting research affiliation: Theory Division, CERN, 1211, Geneva 23, Switzerland
    Dokumententyp
    • Postprint
    Sprache
    • Englisch
    Veröffentlicht in
    • Advances in Applied Clifford Algebras, 2015, vol. 25, no. 2, p. 453-485. Springer Basel
    Andere elektronische Ausgabe
    OAI-PMH-ID
    • oai:doc.rero.ch:332849
    Summary
    We present a generalization of the spinor and twistor geometry for (pseudo) Riemannian manifolds enabled with nonholonomic distributions or for Finsler-Cartan spaces modelled on tangent Lorentz bundles. Nonholonomic (Finsler) twistors are defined as solutions of generalized twistor equations determined by spin connections and frames adapted to nonlinear connection structures. We show that the constructions for local twistors can be globalized using nonholonomic deformations with "auxiliary” metric compatible connections completely determined by the metric structure and/or the Finsler fundamental function. We explain how to perform such an approach in the Einstein gravity theory formulated in Finsler like variables with conventional nonholonomic 2+2 splitting.