Exotic orbits due to spin-spin coupling around Kerr black holes

Abstract

We report exotic orbital phenomena of spinning test particles orbiting around a Kerr black hole, i.e., some orbits of spinning particles are asymmetrical about the equatorial plane. When a nonspinning test particle orbits around a Kerr black hole in a strong field region, due to relativistic orbital precessions, the pattern of trajectories is symmetrical about the equatorial plane of the Kerr black hole. However, the patterns of the spinning particles' orbit are no longer symmetrical about the equatorial plane for some orbital configurations and large spins. We argue that these asymmetrical patterns come from the spin-spin interactions between spinning particles and Kerr black holes, because the directions of spin-spin forces can be arbitrary, and distribute asymmetrically about the equatorial plane.

15 pages, 20 figures

References in corpus (6)

• Motion of spinning test bodies in Kerr spacetime
• Asymptotic gravitational wave fluxes from a spinning particle in circular equatorial orbits around a rotating black hole
• Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations in ultra-relativistic regime and gravimagnetic moment
• Ultra-relativistic spinning particle and a rotating body in external fields
• The dynamics of a spinning particle in a linear in spin Hamiltonian approximation
• Possibility of Measuring spin precession of the nearest supermassive black hole by S stars

Cited by in corpus (4)

• Recent progress on the description of relativistic spin: vector model of spinning particle and rotating body with gravimagnetic moment in General Relativity
• Spinning test particle motion around a traversable wormhole
• Spinning particle orbits around a black hole in an expanding background
• Coulomb problem for classical spinning particle