Pith. sign in

REVIEW 3 cited by

Gravitational radiation reaction in the equations of motion of compact binaries to 3.5 post-Newtonian order

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv gr-qc/0412018 v2 pith:LBMNONHE submitted 2004-12-03 gr-qc

Samaya Nissanke , Luc Blanchet This is my paper · ORCID
classification gr-qc
keywords equationsmotionbinariescompactcoordinateframeorderpost-newtonian
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We compute the radiation reaction force on the orbital motion of compact binaries to the 3.5 post-Newtonian (3.5PN) approximation, i.e. one PN order beyond the dominant effect. The method is based on a direct PN iteration of the near-zone metric and equations of motion of an extended isolated system, using appropriate ``asymptotically matched'' flat-space-time retarded potentials. The formalism is subsequently applied to binary systems of point particles, with the help of the Hadamard self-field regularisation. Our result is the 3.5PN acceleration term in a general harmonic coordinate frame. Restricting the expression to the centre-of-mass frame, we find perfect agreement with the result derived in a class of coordinate systems by Iyer and Will using the energy and angular momentum balance equations.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 Pith papers

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

  1. Constants of motion and fundamental frequencies for elliptic orbits at fourth post-Newtonian order

    gr-qc 2025-11 unverdicted novelty 8.0 of 10

    Derives the 4PN conservative map between constants of motion and fundamental frequencies for eccentric orbits, resummed over eccentricity and validated against circular-orbit and self-force results.

  2. Accurate waveforms for generic planar-orbit binary black holes: The multipolar effective-one-body model SEOBNRv6EHM

    gr-qc 2026-05 unverdicted novelty 7.0 of 10

    SEOBNRv6EHM is a multipolar EOB model for eccentric planar-orbit BBHs calibrated to NR simulations, showing low waveform mismatches up to eccentricity 0.9.

  3. Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates

    gr-qc 2026-01 conditional novelty 7.0 of 10

    The 4.5PN radiation-reaction acceleration of nonspinning compact binaries is derived in harmonic coordinates, including a dimensional-regularization pole, and is shown to satisfy flux-balance laws and Lorentz invariance.

Pith tools