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Absorptive Effects in Black Hole Scattering

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arxiv 2411.03382 v2 pith:JY3UG2LE submitted 2024-11-05 hep-th gr-qc

classification hep-thgr-qc
keywords blackholeamplitudesmassscatteringabsorptionabsorptiveexpansion
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abstract

In this paper we define absorptive Compton amplitudes, which captures the absorption factor for waves of spin-weight-$s$ scattering in black hole perturbation theory. At the leading order, in the $G M \omega$ expansion, such amplitudes are purely imaginary and expressible as contact terms. Equipped with these amplitudes we compute the mass change in black hole scattering events via Kosower-Maybee-O'Connell formalism, where the rest mass of Schwarzschild/Kerr black hole is modified due to absorption of gravitational, electromagnetic, or scalar fields sourced by other compact object. We reproduced the power loss previously computed in the post-Newtonian expansion. The results presented here hold for similar mass ratios and generic spin orientation, while keeping the Kerr spin parameter to lie in the physical region $\chi \le 1$.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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  4. One-Loop Observables to Higher Order in Spin

    hep-th 2024-12 conditional novelty 6.0 of 10

    New one-loop formulas express the momentum impulse and spin kick of two scattered spinning bodies directly in terms of the eikonal phase, valid to all orders in spin and independent of the spin supplementary condition.

  5. Quantum Criticality in Black Hole Scattering

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    Kerr black hole scattering is reinterpreted as a quantum critical phenomenon, with a conformal critical point at extremality and the superradiant bound.

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