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Consistency of post-Newtonian waveforms with numerical relativity

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arxiv gr-qc/0612024 v2 pith:XACI2K6L submitted 2006-12-04 gr-qc

classification gr-qc
keywords phasingwaveformsapproachblackgravitationalholeslastlate-inspiral
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abstract

General relativity predicts the gravitational wave signatures of coalescing binary black holes. Explicit waveform predictions for such systems, required for optimal analysis of observational data, have so far been achieved using the post-Newtonian (PN) approximation. The quality of this treatment is unclear, however, for the important late-inspiral portion. We derive late-inspiral waveforms via a complementary approach, direct numerical simulation of Einstein's equations. We compare waveform phasing from simulations of the last $\sim 14$ cycles of gravitational radiation from equal-mass, nonspinning black holes with the corresponding 2.5PN, 3PN, and 3.5PN orbital phasing. We find phasing agreement consistent with internal error estimates based on either approach, suggesting that PN waveforms for this system are effective until the last orbit prior to final merger.

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Cited by 2 Pith papers

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  1. Analytic Solutions to Compact Binary Inspirals With Leading Order Spin-Orbit Contribution Using The Dynamical Renormalization Group

    gr-qc 2019-08 conditional novelty 6.0 of 10

    The paper applies dynamical renormalization group resummation to produce analytic inspiral trajectories and spin precession for spinning compact binaries at leading spin-orbit order.

  2. AthenaK simulations of the binary black hole merger GW150914

    gr-qc 2025-06 conditional novelty 5.0 of 10

    A new open-source GPU code, AthenaK, reproduces the GW150914 merger: remnant mass within 0.01%, spin within 0.02%, and waveform phase within about 0.35 radians of established simulations.

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