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Strong-field scattering of two black holes: Numerical Relativity meets Post-Minkowskian gravity

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arxiv 2211.01399 v2 pith:YN64UXUC submitted 2022-11-02 gr-qc hep-th

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keywords scatteringblackdataholesbinaryequal-massinformationnon-spinning
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We compare numerical relativity (NR) data on the scattering of equal-mass, non-spinning binary black holes to various analytical predictions based on post-Minkowskian (PM) results. While the usual sequence of PM-expanded scattering angles shows a rather poor convergence towards NR data, we find that a reformulation of PM information in terms of Effective-One-Body radial potentials leads to remarkable agreement with NR data, especially when using the radiation-reacted 4PM information. Using Firsov's inversion formula we directly extract, for the first time, from NR simulations a (radiation-reacted) gravitational potential describing the scattering of equal-mass, non-spinning binary black holes. We urge the NR community to compute more sequences of scattering simulations, so as to extend this knowledge to a wider region of parameter space.

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Cited by 2 Pith papers

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

  1. Resummed energy loss in extreme-mass-ratio scattering using critical orbits

    gr-qc 2026-02 conditional novelty 6.0 of 10

    Near-separatrix logarithmic divergence, anchored by fitted unstable-circular-orbit fluxes, yields resummed formulas for energy loss in extreme-mass-ratio scattering that track exact numerical calculations to about 10-25%.

  2. Parameter estimation of gravitational waves from hyperbolic black hole encounters

    gr-qc 2025-07 conditional novelty 6.0 of 10

    RIFT can recover the masses, spins, and orbital energy and angular momentum of simulated hyperbolic black hole encounters when paired with the TEOBResumSDALI waveform model.

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