A Rutherford-like formula for scattering off Kerr-Newman BHs and subleading corrections

Abstract

By exploiting the Kerr-Schild gauge, we study the scattering of a massive (charged) scalar off a Kerr-Newman black hole. In this gauge, the interactions between the probe and the target involve only tri-linear vertices. We manage to write down the tree-level scattering amplitudes in analytic form, from which we can construct an expression for the eikonal phase which is exact in the spin of the black hole at arbitrary order in the Post-Minkowskian expansion. We compute the classical contribution to the cross-section and deflection angle at leading order for a Kerr black hole for arbitrary orientation of the spin. Finally, we test our method by reproducing the classical amplitude for a Schwarzschild black hole at second Post-Minkowskian order and outline how to extend the analysis to the Kerr-Newman case.

36 pages, 7 figures. v2: typos corrected and refs added. Version published on JHEP

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Cited by in corpus (6)

• Resummed spinning waveforms from five-point amplitudes
• Black hole perturbation theory and multiple polylogarithms
• Spinning waveforms from KMOC at leading order
• Scattering and bound observables for spinning particles in Kerr spacetime with generic spin orientations
• Observables from the Spinning Eikonal
• Gravitational multipoles from scattering amplitudes in higher dimensions