Path Deviation Equations in AP-Geometry
General Relativity and Quantum Cosmology
2016-11-09 v1 Differential Geometry
Abstract
Recently, it has been shown that Absolute Parallelism (AP) geometry admits paths that are naturally quantized. These paths have been used to describe the motion of spinning particles in a background gravitational field. In case of a weak static gravitational field limits, the paths are applied successfully to interpret the discrepancy in the motion of thermal neutrons in the Earth's gravitational field (COW-experiment). The aim of the present work is to explore the properties of the deviation equations corresponding to these paths. In the present work the deviation equations are derived and compared to the geodesic deviation equation of the Riemannian geometry.
Cite
@article{arxiv.gr-qc/0605036,
title = {Path Deviation Equations in AP-Geometry},
author = {M. I. Wanas and M. E. Kahil},
journal= {arXiv preprint arXiv:gr-qc/0605036},
year = {2016}
}
Comments
LaTeX file, 6 pages