Gyroscope precession along general timelike geodesics in a Kerr black hole spacetime

Abstract

The precession angular velocity of a gyroscope moving along a general geodesic in the Kerr spacetime is analyzed using the geometric properties of the spacetime. Natural frames along the gyroscope world line are explicitly constructed by boosting frames adapted to fundamental observers. A novel geometrical description is given to Marck's construction of a parallel propagated orthonormal frame along a general geodesic, identifying and clarifying the special role played by the Carter family of observers in this general context, thus extending previous discussion for the equatorial plane case.

20 pages, 5 figures, revtex macros used

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• Scattering and bound observables for spinning particles in Kerr spacetime with generic spin orientations
• Self-force correction to geodetic spin precession in Kerr spacetime
• Gravitomagnetism and Pulsar Beam Precession near a Kerr Black Hole
• Post-adiabatic waveform-generation framework for asymmetric precessing binaries
• Emissions of photons near the horizons of Kerr-Sen black holes
• Black hole geodesic parallel transport and the Marck recipe for isolating cumulative precession effects
• Spin dynamics of moving bodies in rotating black hole spacetimes
• Precisely computing bound orbits of spinning bodies around black holes I: General framework and results for nearly equatorial orbits