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

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arxiv 1906.10071 v2 pith:PDMAD4RB submitted 2019-06-24 hep-th gr-qc

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

classification hep-th gr-qc
keywords amplitudesblackholesscatteringblack-holemomentaspinspins
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 12 Pith papers

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