Description of gravity in the model with independent nonsymmetric connection
Abstract
A generalization of General Relativity is studied. The standard Einstein-Hilbert action is considered in the Palatini formalism, where the connection and the metric are independent variables, and the connection is not symmetric. As a result of variation with respect to the metric Einstein equations are obtained. A variation with respect to the connection leads to an arbitrariness in the determination of connection, i.e. the presence of gauge invariance. Then a matter in a form of point particle which interacts with field of connection is introduced. Also the action is complemented by a kinetic term for field of the connection to avoid incompatible equation of motion. Thus after the variation procedures we obtain the Einstein equations, the geodesic equation and the Maxwell`s equations for electromagnetism, where some components of the connection play the role of the electromagnetic potential. Thereby the electromagnetic potential is obtained from the geometry of space-time.
Keywords
Cite
@article{arxiv.1803.05958,
title = {Description of gravity in the model with independent nonsymmetric connection},
author = {N. V. Kharuk and S. A. Paston and A. A. Sheykin},
journal= {arXiv preprint arXiv:1803.05958},
year = {2018}
}
Comments
LaTeX, 6 pages, based on a talk given at the 13th International Workshop High Energy Physics and Quantum Field Theory, Yaroslavl, Russia, June 26 - July 3, 2017