Spinorial Field and Lyra Geometry

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.

10 pages. Some misprints corrected

Cited by in corpus (15)

• Bianchi Type-II String Cosmological Models in Normal Gauge for Lyra's Manifold with Constant Deceleration Parameter
• Gauge Formulation for Higher Order Gravity
• Scalar-multi-tensorial equivalence for higher order $f\left(R,{\nabla }_{\mu }R,{\nabla }_{{\mu }_1}{\nabla }_{{\mu }_2}R,...,{\nabla }_{{\mu }_1}...{\nabla }_{{\mu }_n}R\right)$ theories of gravity
• Inhomogeneous Perfect Fluid Universe with Electromagnetic Field in Lyra Geometry
• Massless DKP field in Lyra manifold
• On Bianchi type III Cosmological Model with Quadratic EoS in Lyra Geometry
• Trapped surfaces and nature of singularities in Lyra's geometry
• Whether Lyra's Manifold Itself is a Hidden Source of Dark Energy
• Could the Lyra manifold be the hidden source of the dark energy?
• Axially Symmetric Cosmological Mesonic Stiff Fluid Models in Lyra's Geometry
• Cosmic acceleration from second order gauge gravity
• New Class of Magnetized Inhomogeneous Bianchi Type-I Cosmological Model with Variable Magnetic Permeability in Lyra Geometry
• On Axially Symmetric Space-Times Admitting Homothetic Vector Fields in Lyra's Geometry
• Torsion braneworlds in a tensor-vector gravity
• Charged spherically symmetric black holes in the Lyra geometry and a preliminary investigation on the overcharging process