Hyperbolic-like elastic scattering of spinning particles by a Schwarzschild black hole

Abstract

The scattering of spinning test particles by a Schwarzschild black hole is studied. The motion is described according to the Mathisson-Papapetrou-Dixon model for extended bodies in a given gravitational background field. The equatorial plane is taken as the orbital plane, the spin vector being orthogonal to it with constant magnitude. The equations of motion are solved analytically in closed form to first-order in spin and the solution is used to compute corrections to the standard geodesic scattering angle as well as capture cross section by the black hole.

16 pages, 2 figures; published version. arXiv admin note: text overlap with arXiv:1707.09814

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• High-energy hyperbolic scattering by neutron stars and black holes
• Relativistic scattering of a fast spinning neutron star by a massive black hole
• Scattering of uncharged particles in the field of two extremely charged black holes
• Black hole geodesic parallel transport and the Marck recipe for isolating cumulative precession effects
• Gauss-Bonnet lensing of spinning massive particles in static spherically symmetric spacetimes
• Post-Keplerian perturbations of the hyperbolic motion in the field of a rotating massive object. Analysis in terms of osculating and nonosculating (contact) elements
• Encounter between an extended hyperelastic body and a Schwarzschild black hole with quadrupole-order effects