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Effective one-body approach to general relativistic two-body dynamics

Canonical reference. 89% of citing Pith papers cite this work as background.

38 Pith papers citing it
Background 89% of classified citations
abstract

We map the general relativistic two-body problem onto that of a test particle moving in an effective external metric. This effective-one-body approach defines, in a non-perturbative manner, the late dynamical evolution of a coalescing binary system of compact objects. The transition from the adiabatic inspiral, driven by gravitational radiation damping, to an unstable plunge, induced by strong spacetime curvature, is predicted to occur for orbits more tightly bound than the innermost stable circular orbit in a Schwarzschild metric of mass M = m1 + m2. The binding energy, angular momentum and orbital frequency of the innermost stable circular orbit for the time-symmetric two-body problem are determined as a function of the mass ratio.

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representative citing papers

Binary black hole scattering with generic spins

gr-qc · 2026-06-23 · unverdicted · novelty 8.0

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.

Resumming Scattering Amplitudes for Waveforms

hep-th · 2026-01-13 · unverdicted · novelty 7.0

A new projector-based formalism determines effective potentials from perturbative amplitudes and resums them to compute non-perturbative gravitational waveforms for generic two-body trajectories.

Resummation of Universal Tails in Gravitational Waveforms

hep-th · 2025-04-10 · unverdicted · novelty 7.0

A universal anomalous dimension for multipole moments in GR is derived via two EFT methods and applied to resum short-distance logarithmic tails in binary gravitational waveforms.

Lessons from binary dynamics of inspiralling equal-mass boson-star mergers

gr-qc · 2026-04-28 · unverdicted · novelty 7.0

Numerical simulations of equal-mass boson-star mergers reveal larger waveform deviations from black-hole binaries in late inspiral and merger, plus odd multipole excitations for certain scalar-field phases, with some signals degenerate until IMR consistency tests are applied.

Testing General Relativity with GWTC-4.0 through mixture models

gr-qc · 2026-07-08 · conditional · novelty 6.0

A mixture-model framework for combining gravitational-wave tests of General Relativity yields Bayes factors of 10-20 favoring GR, substantially lower than existing methods that assume uniform deviations across events.

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Showing 38 of 38 citing papers.