Spinorial Field and Lyra Geometry
General Relativity and Quantum Cosmology
2008-11-26 v2 High Energy Physics - Theory
Differential 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.
Cite
@article{arxiv.gr-qc/0509096,
title = {Spinorial Field and Lyra Geometry},
author = {R. Casana and C. A. M. de Melo and B. M. Pimentel},
journal= {arXiv preprint arXiv:gr-qc/0509096},
year = {2008}
}
Comments
10 pages. Some misprints corrected