On-Shell Approach to Black Hole Mergers Article Swipe

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Katsuki Aoki , Andrea Cristofoli , Yu-tin Huang ·

YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2410.13632

We develop an on-shell approach to study black hole mergers. Since, asymptotically, the initial and final states can be described by point-like spinning particles, we propose a massive three-point amplitude for the merger of two Schwarzschild black holes into a Kerr black hole. This three-point amplitude and the spectral function of the final state are fully determined by kinematics and the model-independent input about the black hole merger which is described by a complete absorption process. Using the Kosower-Maybee-O'Connell (KMOC) formalism, we then reproduce the classical conservation laws for momentum and angular momentum after the merger. As an application, we use the proposed three-point to compute the graviton emission amplitude, from which we extract the merger waveform to all orders in spin but leading in gravitational coupling. Up to sub-subleading order in spin, this matches the classical soft graviton theorem. We conclude with a comparison to black hole perturbation theory, which gives complementary amplitudes which are non-perturbative in the gravitational coupling but to leading order in the extreme mass ratio limit. This also highlights how boundary conditions on a Schwarzschild background can be used to rederive the proposed on-shell amplitudes for merger processes.

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Shell (structure) Black hole (networking) Physics Computer science Materials science Computer network Composite material Routing (electronic design automation) Routing protocol Link-state routing protocol

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2410.13632
PDF: https://arxiv.org/pdf/2410.13632
OA Status: green
Related Works: 10
OpenAlex ID: https://openalex.org/W4403579963

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OpenAlex ID: https://openalex.org/W4403579963

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DOI: https://doi.org/10.48550/arxiv.2410.13632

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Title: On-Shell Approach to Black Hole Mergers

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Type: preprint

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Language: en

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Publication year: 2024

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Publication date: 2024-10-17

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Authors: Katsuki Aoki, Andrea Cristofoli, Yu-tin Huang

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Landing page: https://arxiv.org/abs/2410.13632

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PDF URL: https://arxiv.org/pdf/2410.13632

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Concepts: Shell (structure), Black hole (networking), Physics, Computer science, Materials science, Computer network, Composite material, Routing (electronic design automation), Routing protocol, Link-state routing protocol

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