Relativistic effects due to gravimagnetic moment of a rotating body

Abstract

We compute exact Hamiltonian (and corresponding Dirac brackets) for spinning particle with gravimagnetic moment $\kappa$ in an arbitrary gravitational background. $\kappa =0$ corresponds to the Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations. $\kappa =1$ leads to modified MPTD equations with reasonable behavior in the ultrarelativistic limit. So we study the modified equations in the leading post-Newtonian approximation. Rotating body with unit gravimagnetic moment has qualitatively different behavior as compared with MPTD body: A) If a number of gyroscopes with various rotation axes are freely traveling together, the angles between the axes change with time. B) For specific binary systems, gravimagnetic moment gives a contribution to frame-dragging effect with the magnitude, that turns out to be comparable with that of Schiff frame dragging.

21 pages

References in corpus (8)

• The Confrontation between General Relativity and Experiment
• Gravity Probe B: Final Results of a Space Experiment to Test General Relativity
• General treatment of quantum and classical spinning particles in external fields
• Spin-orbit precession for eccentric black hole binaries at first order in the mass ratio
• Relativistic corrections to the algebra of position variables and spin-orbital interaction
• Lagrangian for the Frenkel electron
• Antigravity: Spin-gravity coupling in action
• Noncommutative Particles in Curved Spaces

Cited by in corpus (9)

• Spinning test particles in the $\gamma$ spacetime
• Bounds on spinning particles in their innermost stable circular orbits around rotating braneworld black hole
• Kerr-Sen Black Hole as Accelerator for Spinning Particles
• Spinning Particle Dynamics and ISCO in Covariant Loop Quantum Gravity
• Motion of spinning particles around a polymer black hole in loop quantum gravity
• Comment on "Acceleration of particles to high energy via gravitational repulsion in the Schwarzschild field" by C. H. McGruder III
• Spinning gravimagnetic particles in Schwarzschild-like black holes
• Chiral Spin Noncommutative Space and Anomalous Dipole Moments
• Hidden Momentum and the Absence of the Gravitational Spin Hall Effect in a Uniform Field