Hyperbolic scattering of spinning particles by a Kerr black hole

Abstract

We investigate the scattering of a spinning test particle by a Kerr black hole within the Mathisson-Papapetrou-Dixon model to linear order in spin. The particle's spin and orbital angular momentum are taken to be aligned with the black hole's spin. Both the particle's mass and spin length are assumed to be small in comparison with the characteristic length scale of the background curvature, in order to avoid backreaction effects. We analytically compute the modifications due to the particle's spin to the scattering angle, the periastron shift, and the condition for capture by the black hole, extending previous results valid for the nonrotating Schwarzschild background. Finally, we discuss how to generalize the present analysis beyond the linear approximation in spin, including spin-squared corrections in the case of a black-hole-like quadrupolar structure for the extended test body.

12 pages, 3 figures, revtex macros

References in corpus (9)

• Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory
• The high-energy collision of two black holes
• Cross section, final spin and zoom-whirl behavior in high-energy black hole collisions
• High-velocity collision of two black holes
• Gravitational scattering of two black holes at the fourth post-Newtonian approximation
• Motion of spinning test bodies in Kerr spacetime
• Dynamics of quadrupolar bodies in a Schwarzschild spacetime
• Scattering of point particles by black holes: gravitational radiation
• Hyperbolic-like elastic scattering of spinning particles by a Schwarzschild black hole

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• Spinning particles, axion radiation, and the classical double copy
• Sixth post-Newtonian nonlocal-in-time dynamics of binary systems
• Binary Dynamics Through the Fifth Power of Spin at $\mathcal{O}(G^2)$
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Gravitational spin-orbit coupling through third-subleading post-Newtonian order: from first-order self-force to arbitrary mass ratios
• Gravitational radiation from the classical spinning double copy
• Test black holes, scattering amplitudes and perturbations of Kerr spacetime
• Gravitational spin-orbit and aligned spin${}_1$-spin${}_2$ couplings through third-subleading post-Newtonian orders
• Scattering Angles in Kerr Metrics
• Scattering and bound observables for spinning particles in Kerr spacetime with generic spin orientations
• Self-force effects on the marginally bound zoom-whirl orbit in Schwarzschild spacetime
• Gravitational spin-orbit dynamics at the fifth-and-a-half post-Newtonian order
• High-energy hyperbolic scattering by neutron stars and black holes
• Relativistic scattering of a fast spinning neutron star by a massive black hole
• Internal structures and circular orbits for test particles
• Black hole geodesic parallel transport and the Marck recipe for isolating cumulative precession effects
• Scattering of uncharged particles in the field of two extremely charged black holes
• Gauss-Bonnet lensing of spinning massive particles in static spherically symmetric spacetimes
• Spin dynamics of moving bodies in rotating black hole spacetimes