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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

classification gr-qchep-th
keywords scatteringblackdataholesbinaryequal-massinformationnon-spinning
verification ladder T0 review T1 audit T2 compute T3 formal
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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 10 Pith papers

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

  1. Binary black hole scattering with generic spins

    gr-qc 2026-06 unverdicted novelty 8.0 of 10

    First NR-PM comparison for generic-spin black hole scattering reveals strong-field precessional turning-point structure with polar-angle sign change absent from perturbative PM.

  2. Black-Hole Scattering in Einstein-scalar-Gauss-Bonnet: Numerical Relativity Meets Analytics

    gr-qc 2026-05 unverdicted novelty 8.0 of 10

    Numerical relativity simulations of black hole scattering in Einstein-scalar-Gauss-Bonnet gravity agree closely with effective-one-body analytic predictions.

  3. Emergence of Calabi-Yau manifolds in high-precision black hole scattering

    hep-th 2024-11 unverdicted novelty 8.0 of 10

    At 5PM-1SF order, Calabi-Yau three-fold periods emerge in radiation-reacted observables for classical black hole scattering computed with worldline QFT and advanced IBP/DE methods.

  4. Analytic structure of the high-energy gravitational amplitude: multi-H diagrams and classical 5PM logarithms

    hep-th 2025-11 unverdicted novelty 7.0 of 10

    Computes the leading double logarithm at 5PM in the high-energy gravitational amplitude via multi-H diagrams and dispersion relations, extracting the single-log imaginary part of the eikonal phase.

  5. A Runway to Dissipation of Angular Momentum via Worldline Quantum Field Theory

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    The authors introduce static correlators in worldline QFT to compute angular momentum dissipation in black hole scattering, reproducing the known O(G^3) flux and extending the approach to electromagnetism at O(α^3).

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  7. 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%.

  8. Heterotic Footprints in Classical Gravity: PM dynamics from On-Shell soft amplitudes at one loop

    hep-th 2025-10 unverdicted novelty 6.0 of 10

    Derives conservative potential and scattering angle for charged black holes in EMD theory via one-loop soft amplitudes, showing IR finiteness after Lippmann-Schwinger treatment and smooth reduction to GR.

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

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  10. The Science of the Einstein Telescope

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