A Rutherford-like formula for scattering off Kerr-Newman BHs and subleading corrections
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Publication:6050682
DOI10.1007/JHEP08(2023)188arXiv2306.08969OpenAlexW4386285843MaRDI QIDQ6050682
Author name not available (Why is that?)
Publication date: 12 October 2023
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/2306.08969
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