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Spinorial field and Lyra geometry

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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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Lyra geometry, Schwinger Variational Principle, classical fields on non-euclidean manifolds

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English

Citation

Astrophysics and Space Science. Dordrecht: Springer, v. 305, n. 2, p. 125-132, 2006.

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