Analytic determination of high-order post-Newtonian self-force contributions to gravitational spin precession

Abstract

Continuing our analytic computation of the first-order self-force contribution to the "geodetic" spin precession frequency of a small spinning body orbiting a large (non-spinning) body we provide the exact expressions of the tenth and tenth-and-a-half post-Newtonian terms. We also introduce a new approach to the analytic computation of self-force regularization parameters based on a WKB analysis of the radial and angular equations satisfied by the metric perturbations.

10 pages, revtex macros used

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• Spin-orbit precession for eccentric black hole binaries at first order in the mass ratio
• Spin-orbit precession along eccentric orbits for extreme mass ratio black hole binaries and its effective-one-body transcription
• Linear-in-mass-ratio contribution to spin precession and tidal invariants in Schwarzschild spacetime at very high post-Newtonian order
• Gyroscope precession along bound equatorial plane orbits around a Kerr black hole
• Spin dynamics of a millisecond pulsar orbiting closely around a massive black hole
• Geometrized effective-one-body formalism for extreme-mass-ratio limits: Generic orbits
• Electromagnetic self-force on a charged particle on Kerr spacetime: equatorial circular orbits
• Gyroscope precession along unbound equatorial plane orbits around a Kerr black hole
• Analytical solutions of bound timelike geodesic orbits in effective-one-body frame