Jose Luis Hernández Pastora, Javier Martín Barrios, E. Ruiz
It is said that the vorticity of a congruence plays the role of rate of rotation for the precession of a gyroscope moving along a world-line belonging to the congruence. Our aim is to determine the evolution equation for the angular momentum of a gyroscope with respect to an arbitrary time-like congruence, i.e, a reference congruence which does not contain the curve described by the gyroscope. In particular, we will show what conditions are needed to support the previous assert about the vorticity. So, we establish a well-founded theoretical description for the analysis of the precession of gyroscopes, providing suitable conclusions for an eventual performance of planned experiments.
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