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.

arXiv comment21 pages

References in corpus (31)

• The Confrontation between General Relativity and Experiment
• Gravity Probe B: Final Results of a Space Experiment to Test General Relativity
• General Relativistic Geodetic Spin Precession in Binary Pulsar B1913+16: Mapping the Emission Beam in Two Dimensions
• Equations of Motion of Spinning Relativistic Particle in External Fields
• Gravitational self-torque and spin precession in compact binaries
• Observations and Modelling of Relativistic Spin Precession in PSR J1141-6545
• General treatment of quantum and classical spinning particles in external fields
• Geodetic Precession in PSR J1141-6545
• Lagrangian formulation for Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations
• Spacetime dynamics of spinning particles - exact electromagnetic analogies
• Lagrangian for Frenkel electron and position's non-commutativity due to spin
• Spin-orbit precession for eccentric black hole binaries at first order in the mass ratio
• Near horizon geometry of extremal black holes and Banados-Silk-West effect
• Relativistic corrections to the algebra of position variables and spin-orbital interaction
• Frenkel electron and a spinning body in a curved background
• Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations in ultra-relativistic regime and gravimagnetic moment
• Ultra-relativistic spinning particle and a rotating body in external fields
• Lagrangian for the Frenkel electron
• Gravitational Interaction of Spinning Bodies, Center-of-Mass Coordinate and Radiation of Compact Binary Systems
• The three-fold theoretical basis of the Gravity Probe B gyro precession calculation
• Spin Precession in Inertial and Gravitational Fields
• Multipolar test body equations of motion in generalized gravity theories
• Noncommutative relativistic particles
• Quasi-Maxwell interpretation of the spin-curvature coupling
• Antigravity: Spin-gravity coupling in action
• Gyroscope precession along general timelike geodesics in a Kerr black hole spacetime
• Invariant conserved currents in generalized gravity
• Noncommutative Particles in Curved Spaces
• Probing Noncommutativities of Phase Space by Using Persistent Charged Current and Its Asymmetry
• Constrains of Charge-to-Mass Ratios on Noncommutative Phase Space
• Pryce's mass-center operators and the anomalous velocity of a spinning electron

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• 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
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