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Spinorial Field and Lyra Geometry

R. Casana·C. A. M. de Melo·B. M. Pimentel
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Abstract

The Dirac field is studied in a Lyra space-time background by means of the classical Schwinger Variational Principle. We obtain the equations of motion, establish the conservation laws, and get a scale relation relating the energy-momentum and spin tensors. Such scale relation is an intrinsic property for matter fields in Lyra background.

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R. Casana, C. A. M. de Melo, B. M. Pimentel. 2005-10-13. Spinorial Field and Lyra Geometry. https://doi.org/10.1007/s10509-006-9048-5

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