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arXiv · 1906.10071

Black-hole scattering with general spin directions from minimal-coupling amplitudes

Alfredo Guevara·Alexander Ochirov·Justin Vines
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Abstract

We study the link between classical scattering of spinning black holes and quantum amplitudes for massive spin-$s$ particles. Generic spin orientations of the black holes are considered, allowing their spins to be deflected on par with their momenta. We rederive the spin-exponentiated structure of the relevant tree-level amplitude from minimal coupling to Einstein's gravity, which in the $s\to\infty$ limit generates the black holes' complete series of spin-induced multipoles. The resulting scattering function is seen to encode in a simple way the known net changes in the black-hole momenta and spins at first post-Minkowskian order. We connect our findings to a rigorous framework developed elsewhere for computing such observables from amplitudes.

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Alfredo Guevara, Alexander Ochirov, Justin Vines. 2019-06-24. Black-hole scattering with general spin directions from minimal-coupling amplitudes. https://doi.org/10.1103/physrevd.100.104024

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