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Schwarzschild geodesics from Scattering Amplitudes to all orders in $G_N$

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arxiv 2407.09448 v1 pith:OGXEHPS3 submitted 2024-07-12 hep-th gr-qc

Stavros Mougiakakos , Pierre Vanhove This is my paper · ORCID
classification hep-thgr-qc
keywords bodyscatteringschwarzschildachievedactionamplitude-basedamplitudesapproach
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The dynamics of the leading self-force (0SF) order, corresponding to the geodesic motion of a light body in the exact background of a heavy body, are explicitly derived for the first time using a flat space scattering amplitude-based approach. This is achieved by utilising the cubic formulation of Einstein's general relativity coupled to the effective worldline action of massive point particles, which was employed to derive the Schwarzschild black hole metric in arXiv:2405.14421.

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Cited by 1 Pith paper

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  1. Radiation-Reaction and Angular Momentum Loss at $\mathcal{O}(G^4)$

    hep-th 2025-01 accept novelty 8.0 of 10

    A closed-form, all-velocity expression for the O(G^4) radiated angular momentum in two-body gravitational scattering is derived, resumming all half-odd post-Newtonian corrections.

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