Precession of a gyroscope in the Kerr geometry

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Circular Orbits, Gyroscopes, Precession, Astrophysics, Spin Dynamics

Scientific paper

An exact expression for the precession of a gyroscope moving along a circular orbit in Kerr geometry is presented. An expression for the geodesic circular orbit outside the static limit is obtained from the geodesic equation in Kerr geometry, along with a term, designated the parallel propagator, representing the assumed parallel transport of the spin vector along the geodesics. The approximation of the derived exact expression to the lowest order is shown to agree with the formula of Schiff (1960).

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