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Gravitational field and equations of motion of compact binaries to 5/2 post-Newtonian order

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arxiv gr-qc/9804079 v2 pith:ULXNZHJW submitted 1998-04-29 gr-qc

Luc Blanchet , Guillaume Faye , Bénédicte Ponsot This is my paper
classification gr-qc
keywords post-newtonianbinarycompactequationsfieldgravitationalmotiongeneral
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We derive the gravitational field and equations of motion of compact binary systems up to the 5/2 post-Newtonian approximation of general relativity (where radiation-reaction effects first appear). The approximate post-Newtonian gravitational field might be used in the problem of initial conditions for the numerical evolution of binary black-hole space-times. On the other hand we recover the Damour-Deruelle 2.5PN equations of motion of compact binary systems. Our method is based on an expression of the post-Newtonian metric valid for general (continuous) fluids. We substitute into the fluid metric the standard stress-energy tensor appropriate for a system of two point-like particles. We remove systematically the infinite self-field of each particle by means of the Hadamard partie finie regularization.

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Cited by 3 Pith papers

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

  1. 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.

  2. Generalized Carter & R\"udiger Constants of $\sqrt{\text{Kerr}}$

    gr-qc 2026-02 unverdicted novelty 7.0 of 10

    Generalized Carter and Rüdiger constants for spinning charged probes in √Kerr backgrounds exist only for Wilson coefficients matching spin-exponentiated effective Compton amplitudes up to second order in spin.

  3. Leading-order gravitational time delay of massive particles by a moving Schwarzschild lens

    gr-qc 2025-06 conditional novelty 6.0 of 10

    A unified 1PM formula gives the gravitational time delay of relativistic massive and massless particles by a radially moving Schwarzschild lens, matching known light and static limits.

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