Gauge Formalism for General Relativity and Fermionic Matter
General Relativity and Quantum Cosmology
2015-06-25 v2
Abstract
A new formalism for spinors on curved spaces is developed in the framework of variational calculus on fibre bundles. The theory has the same structure of a gauge theory and describes the interaction between the gravitational field and spinors. An appropriate gauge structure is also given to General Relativity, replacing the metric field with spin frames. Finally, conserved quantities and superpotentials are calculated under a general covariant form.
Cite
@article{arxiv.gr-qc/9609042,
title = {Gauge Formalism for General Relativity and Fermionic Matter},
author = {Lorenzo Fatibene and Marco Ferraris and Mauro Francaviglia and Marco Godina},
journal= {arXiv preprint arXiv:gr-qc/9609042},
year = {2015}
}
Comments
18 pages, Plain TEX, revision, explicit expression for superpotential has been added