Scattering Angles in Kerr Metrics

Abstract

Scattering angles for probes in Kerr metrics are derived for scattering in the equatorial plane of the black hole. We use a method that naturally resums all orders in the spin of the Kerr black hole, thus facilitating comparisons with scattering-angle computations based on the Post-Minkowskian expansion from scattering amplitudes or worldline calculations. We extend these results to spinning black-hole probes up to and including second order in the probe spin and any order in the Post- Minkowskian expansion, for probe spins aligned with the Kerr spin. When truncating to third Post-Minkowskian order, our results agree with those obtained by amplitude and worldline methods.

18 pages, 3 tables

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Cited by in corpus (18)

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• Boundary to bound dictionary for generic Kerr orbits
• Scattering and bound observables for spinning particles in Kerr spacetime with generic spin orientations
• Observables from the Spinning Eikonal
• All order gravitational waveforms from scattering amplitudes
• A Rutherford-like formula for scattering off Kerr-Newman BHs and subleading corrections
• First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order
• Spinning Black Hole Scattering at $\mathcal{O}(G^3{S}^2)$: Casimir Terms, Radial Action and Hidden Symmetry
• Massive twistor worldline in electromagnetic fields
• Charged test-particle scattering and effective one-body metrics with spin
• The spinning self-force EFT: 1SF waveform recursion relation and Compton scattering
• Strong Field Scattering of Two Black Holes: Exploring Gauge Flexibility
• Dynamics for Super-Extremal Kerr Binary Systems at $\mathcal{O}(G^2)$
• Gravitational multipoles from scattering amplitudes in higher dimensions
• Unexpected Symmetries of Kerr Black Hole Scattering