Spinorial Field and Lyra Geometry
  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. 
R. Casana, C. A. M. de Melo, B. M. Pimentel