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Higher-order spin effects in the dynamics of compact binaries I. Equations of motion

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arxiv gr-qc/0605139 v4 pith:K6KRK232 submitted 2006-05-27 gr-qc

Guillaume Faye (IAP) , Luc Blanchet (IAP) , Alessandra Buonanno (IAP , Department of Physics , University of Maryland , Apc) This is my paper · ORCID
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keywords equationsmotionorderbeyondbinariescompactderiveeffects
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We derive the equations of motion of spinning compact binaries including the spin-orbit (SO) coupling terms one post-Newtonian (PN) order beyond the leading-order effect. For black holes maximally spinning this corresponds to 2.5PN order. Our result for the equations of motion essentially confirms the previous result by Tagoshi, Ohashi and Owen. We also compute the spin-orbit effects up to 2.5PN order in the conserved (Noetherian) integrals of motion, namely the energy, the total angular momentum, the linear momentum and the center-of-mass integral. We obtain the spin precession equations at 1PN order beyond the leading term, as well. Those results will be used in a future paper to derive the time evolution of the binary orbital phase, providing more accurate templates for LIGO-Virgo-LISA type interferometric detectors.

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Cited by 4 Pith papers

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    First computation of the O(G^3 S^2) momentum-space gravitational waveform for two scattering spinning black holes, plus the leading three-body spinning waveform.

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

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    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.

  4. Worldline effective field theory of inspiralling black hole binaries in presence of dark photon and axionic dark matter

    hep-th 2023-05 unverdicted novelty 6.0 of 10

    Computes 1PN conservative dynamics for gravitational/EM/Proca fields and 2PN for scalar, plus radiation effects from axion-photon coupling at high PN orders in binary black hole systems with dark matter.

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