1993/10/18 by B. R. Iyer, C. V. Vishveshwara · 1 citation
Mathematics · Physics and Astronomy · #Classical mechanics #Congruence (geometry) #Cosmology and Gravitation Theories #Curvature #Frenet–Serret formulas #Geometry #Gravitation #Mathematical physics #Mathematics #Minkowski space #Physics #Precession #Pulsars and Gravitational Waves Research #Quantum mechanics #Relativity and Gravitational Theory #Schwarzschild radius #Spacetime #gr-qc
paper · pdf · doi:10.1103/physrevd.48.5706
published as Phys.Rev.D48:5706-5720,1993 · 37 pages, Paper in Latex
arxiv created 1993/10/18 · openalex publication_date 1993/12/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The phenomenon of gyroscopic precession is studied within the framework of the Frenet-Serret formalism adapted to quasi-Killing trajectories. Its relation to the congruence vorticity is high-lighted with particular reference to the irrotational congruence admitted by the stationary, axisymmetric spacetime. General precession formulas 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"odel universes as well as the general stationary, cylindrical, vacuum spacetimes.