2000/09/18 by J. L. Hernández–Pastora, José Luis Hernández-Pastora, Jesús Izquierdo Martín +6
Engineering · Physics and Astronomy · #Dynamics and Control of Mechanical Systems #Elasticity and Wave Propagation #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geotechnical and Geomechanical Engineering #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0009062
18 pages, TeX. Corrected typos. New tittle
openalex publication_date 2000/09/18 · arxiv created 2001/12/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.