Gyroscope precession along bound equatorial plane orbits around a Kerr black hole

Abstract

The precession of a test gyroscope along stable bound equatorial plane orbits around a Kerr black hole is analyzed and the precession angular velocity of the gyro's parallel transported spin vector and the increment in precession angle after one orbital period is evaluated. The parallel transported Marck frame which enters this discussion is shown to have an elegant geometrical explanation in terms of the electric and magnetic parts of the Killing-Yano 2-form and a Wigner rotation effect.

16 pages; revtex macros; 3 eps figures

References in corpus (14)

• Validating the effective-one-body model of spinning, precessing binary black holes against numerical relativity
• Fourth post-Newtonian effective one-body dynamics
• A new effective-one-body description of coalescing nonprecessing spinning black-hole binaries
• Precession effect of the gravitational self-force in a Schwarzschild spacetime and the effective one-body formalism
• Gravitational self-force corrections to two-body tidal interactions and the effective one-body formalism
• Dynamics of Extended Spinning Masses in a Gravitational Field
• Two-body gravitational spin-orbit interaction at linear order in the mass ratio
• Tidal invariants for compact binaries on quasi-circular orbits
• Chaos and Order in Models of Black Hole Pairs
• Analytic determination of high-order post-Newtonian self-force contributions to gravitational spin precession
• Spin-geodesic deviations in the Kerr spacetime
• Spin precession along circular orbits in the Kerr spacetime: the Frenet-Serret description
• Wigner rotation via Fermi-Walker transport and relativistic EPR correlations in the Schwarzschild spacetime
• Relativistic Gravity Gradiometry: The Mashhoon--Theiss Effect

Cited by in corpus (5)

• Astrophysically relevant bound trajectories around a Kerr black hole
• Spin-orbit precession for eccentric black hole binaries at first order in the mass ratio
• Gyroscope precession along unbound equatorial plane orbits around a Kerr black hole
• High-order post-Newtonian expansion of the generalized redshift invariant for eccentric-orbit, equatorial extreme-mass-ratio inspirals with a spinning primary
• The Orbital Lense-Thirring Precession in a Strong Field