General relativistic spin-orbit and spin-spin effects on the motion of rotating particles in an external gravitational field

Abstract

We analytically compute the orbital effects induced on the motion of a spinning particle geodesically traveling around a central rotating body by the general relativistic two-body spin-spin and spin-orbit interactions. We use the weak-field and slow-motion leading-order approximation. Neither assumptions on the eccentricity nor the inclination of the orbit of the particle have been assumed. No specific orientations of the spins involved have been chosen. (Abridged)

LaTex2e, 24 pages, no figures, no tables. Minor changes. Version matching the one at press in General Relativity and Gravitation (GRG)

References in corpus (12)

• Tests of general relativity from timing the double pulsar
• Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
• Dynamics of Extended Spinning Masses in a Gravitational Field
• The Evolution of PSR J0737-3039B and a Model for Relativistic Spin Precession
• Reduced Hamiltonian for next-to-leading order Spin-Squared Dynamics of General Compact Binaries
• Implications of a VLBI Distance to the Double Pulsar J0737-3039A/B
• Gravitational waveforms for spinning compact binaries
• Full-analytic frequency-domain gravitational wave forms from eccentric compact binaries to 2PN accuracy
• Next-to-leading order spin-orbit and spin(a)-spin(b) Hamiltonians for n gravitating spinning compact objects
• The double pulsar: evolutionary constraints from the system geometry
• On some gravitomagnetic spin-spin effects for astronomical bodies
• Gravitational waveforms from a Lense-Thirring system

Cited by in corpus (26)

• Constraints on a charge in the Reissner--Nordström metric for the black hole at the Galactic Center
• Constraining the angular momentum of the Sun with planetary orbital motions and general relativity
• Accurate characterization of the stellar and orbital parameters of the exoplanetary system WASP-33 b from orbital dynamics
• Improved upper bounds on Kaluza-Klein gravity with current Solar System experiments and observations
• Pulsar timing in extreme mass ratio binaries: a general relativistic approach
• Fast Spinning Pulsars as Probes of Massive Black Holes' Gravity
• Spin dynamics of a millisecond pulsar orbiting closely around a massive black hole
• Fluid sphere: stability problem and dimensional constraint
• Effect of Particle Spin on Trajectory Deflection and Gravitational Lensing
• Complex orbital dynamics of a double neutron star system revolving around a massive black hole
• Orbital spin dynamics of a millisecond pulsar around a massive black hole with an general mass quadrupole
• Gravitomagnetic Stern--Gerlach Force
• The post-Newtonian gravitomagnetic spin-octupole moment of an oblate rotating body and its effects on an orbiting test particle; are they measurable in the Solar System?
• Effects on satellite orbits in the gravitational field of an axisymmetric central body with a mass monopole and arbitrary spin multipole moments
• Effect of TTC on Satellite Orbital Mechanics
• Prospects of constraining the dense matter equation of state from the timing analysis of pulsars in double neutron star binaries: the cases of PSR J0737-3039A and PSR J1757-1854
• Gravitational Burst Radiation from Pulsars in the Galactic centre and stellar clusters
• Astrophysics with the Laser Interferometer Space Antenna
• Gravito-electromagnetic Effects of Massive Rings
• On a correlation among azimuthal velocities and the flyby anomaly sign
• Classical and general relativistic post-Keplerian effects in binary pulsars hosting fast rotating main sequence stars
• Pioneer 10 and 11 Spacecraft Anomalous Acceleration in the light of the Nonsymmetric Kaluza-Klein (Jordan-Thiry) Theory
• Orbital effects due to gravitational induction
• Numerical solution of Mathisson-Papapetrou-Dixon equations for spinning test particles in a Kerr metric
• The precession of particle spin in spherical symmetric spacetimes
• The Ricci Rotation Coefficients in the description of trajectories of spinning test particles off-equatorial planes in a rotational gravitational field