Path Equations In Absolute Parallelism Space
General Relativity and Quantum Cosmology
2017-04-19 v3
Abstract
Riemannian and Absolute Parallelism (AP) geometries are discussed. A lavish treatment of path equations in the AP-space using the Bazanski-type Lagrangian is presented; We write down an expression that is absolutely conserved along a curve in the AP-space and show that it gives the same path equations as obtained using the conventional Lagrangian formalism. We attribute physical interpretations to the resultant path equations and we show that the spin-torsion interaction is an inherent property of the AP-space.
Cite
@article{arxiv.1704.01400,
title = {Path Equations In Absolute Parallelism Space},
author = {Christian Nwachioma and Farida Tahir},
journal= {arXiv preprint arXiv:1704.01400},
year = {2017}
}
Comments
16 pages, 3 figures. Version 2: argument improved, typos corrected, a diagram removed