Spinorial Field and Lyra Geometry
R. Casana, C. A. M. de Melo, B. M. Pimentel
TL;DR
This paper investigates the Dirac field within Lyra geometry using the Schwinger Variational Principle, deriving equations of motion, conservation laws, and a scale relation linking energy-momentum and spin tensors.
Contribution
It introduces a novel analysis of the Dirac field in Lyra geometry, establishing intrinsic scale relations between matter tensors in this framework.
Findings
Derived equations of motion for Dirac field in Lyra space-time
Established conservation laws specific to Lyra geometry
Identified a scale relation linking energy-momentum and spin tensors
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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