Spinorial Field and Lyra Geometry
classification
🌀 gr-qc
hep-thmath.DG
keywords
lyrabackgroundfieldrelationscaleclassicalconservationdirac
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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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