On gyroscopic precession
广义相对论与量子宇宙学
2007-05-23 v3
摘要
The vorticity of a congruence is often considered to be the rate of rotation for the precession of a gyroscope moving along a world-line belonging to that congruence. Our aim here was to determine the evolution equation for the angular momentum of a gyrosocope with respect to an arbitrary time-like congruence: i.e, a reference congruence not containing the curve described by the gyroscope. In particular, we show the specific conditions needed to support the introductory statement about the vorticity. We thus establish a well-founded theoretical description for the analysis of the precession of gyroscopes, providing suitable conclusions for possible experiments.
引用
@article{arxiv.gr-qc/0009062,
title = {On gyroscopic precession},
author = {José Luis Hernández-Pastora and Jesús Martín and Eduardo Ruiz},
journal= {arXiv preprint arXiv:gr-qc/0009062},
year = {2007}
}
备注
18 pages, TeX. Corrected typos. New tittle