The Frenet Serret Description of Gyroscopic Precession

Details The Frenet Serret Description of Gyroscopic Precession The Frenet Serret Description of Gyroscopic Precession

1993-10-12

arxiv.org/abs/gr-qc/9310019v2

Phys.Rev.D48:5706-5720,1993

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

37 pages, Paper in Latex

Scientific paper

10.1103/PhysRevD.48.5706

The phenomenon of gyroscopic precession is studied within the framework of Frenet-Serret formalism adapted to quasi-Killing trajectories. Its relation to the congruence vorticity is highlighted with particular reference to the irrotational congruence admitted by the stationary, axisymmetric spacetime. General precession formulae are obtained for circular orbits with arbitrary constant angular speeds. By successive reduction, different types of precessions are derived for the Kerr - Schwarzschild - Minkowski spacetime family. The phenomenon is studied in the case of other interesting spacetimes, such as the De Sitter and G\"{o}del universes as well as the general stationary, cylindrical, vacuum spacetimes.

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