Path Deviation Equations in AP-Geometry

Details Path Deviation Equations in AP-Geometry Path Deviation Equations in AP-Geometry

2006-05-06

arxiv.org/abs/gr-qc/0605036v1

Published in The Proceedings of MG X, page 1440, World Scientific Pub.(2005)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX file, 6 pages

Scientific paper

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.

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