Extended Schouten classification for non-Riemannian geometries
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
A generalized connection, including Christoffel coefficients, torsion, non-metricity tensor and metric-asymmetricity object, is analyzed according to the Schouten classification. The inverse structure matrix is found in the linearized regime, autoparallel trajectories are defined and the contribution of the components of the connection are clarified at first-order approximation.
Cite
@article{arxiv.0712.3716,
title = {Extended Schouten classification for non-Riemannian geometries},
author = {S. Casanova and O. M. Lecian and G. Montani and R. Ruffini and R. Zalaletdinov},
journal= {arXiv preprint arXiv:0712.3716},
year = {2008}
}
Comments
7 pages, to appear on Mod. Phys. Lett. A