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Rotating coordinates as tools for calculating circular geodesics and gyroscopic precession. (English) Zbl 0708.53050

By using the well-known canonical form for axially symmetric stationary space-time and exploiting its invariance with respect to transformations \(\phi '=\phi -\omega t\) of the azimuthal angle, simple formulas for calculating circular geodesics in Schwarzschild and Kerr space-times, Thomas precession, and gyroscopic precession in Schwarzschild and Gödel space-times, are derived.
Reviewer: H.Stephani

MSC:

53B50 Applications of local differential geometry to the sciences
83C10 Equations of motion in general relativity and gravitational theory
53C22 Geodesics in global differential geometry
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