Spin-geodesic deviations in the Kerr spacetime

Abstract

The dynamics of extended spinning bodies in the Kerr spacetime is investigated in the pole-dipole particle approximation and under the assumption that the spin-curvature force only slightly deviates the particle from a geodesic path. The spin parameter is thus assumed to be very small and the back reaction on the spacetime geometry neglected. This approach naturally leads to solve the Mathisson-Papapetrou-Dixon equations linearized in the spin variables as well as in the deviation vector, with the same initial conditions as for geodesic motion. General deviations from generic geodesic motion are studied, generalizing previous results limited to the very special case of an equatorial circular geodesic as the reference path.

19 pages, 6 figures; published version

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• Gyroscopes orbiting black holes: A frequency-domain approach to precession and spin-curvature coupling for spinning bodies on generic Kerr orbits
• Gyroscope precession along bound equatorial plane orbits around a Kerr black hole
• Spinning particles near Kerr black holes: Orbits and gravitational-wave fluxes through the Hamilton-Jacobi formalism
• Gyroscope precession along general timelike geodesics in a Kerr black hole spacetime
• Extended bodies in a Kerr spacetime: exploring the role of a general quadrupole tensor
• Parameters of Innermost Stable Circular Orbits of Spinning Test Particles: Numerical and Analytical Calculations
• Gyroscope precession along unbound equatorial plane orbits around a Kerr black hole
• Observer-dependent tidal indicators in the Kerr spacetime
• Spin dynamics of moving bodies in rotating black hole spacetimes
• Spinning Equations for Objects of Some Classes in Finslerian Geometry
• Spinning test particles in the spacetime of a global monopole
• Precisely computing bound orbits of spinning bodies around black holes II: Generic orbits
• Precisely computing bound orbits of spinning bodies around black holes I: General framework and results for nearly equatorial orbits