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Gravitational radiation from inspiralling compact objects: Spin effects to fourth Post-Newtonian order

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arxiv 2201.05138 v1 pith:V27YXFKY submitted 2022-01-13 gr-qc hep-th

classification gr-qchep-th
keywords effectsgravitational-waveorderfindfourthpost-newtonianspinaccumulated
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The linear- and quadratic-in-spin contributions to the binding potential and gravitational-wave flux from binary systems are derived to next-to-next-to-leading order in the Post-Newtonian (PN) expansion of general relativity, including finite-size and tail effects. The calculation is carried out through the worldline effective field theory framework. We find agreement in the overlap with the available PN literature and test-body limit. As a direct application, we complete the knowledge of spin effects in the evolution of the orbital phase for aligned-spin circular orbits to fourth PN order. We estimate the impact of the new results in the number of accumulated gravitational-wave cycles. We find they will play an important role in providing reliable physical interpretation of gravitational-wave signals from spinning binaries with future detectors such as LISA and the Einstein Telescope.

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Cited by 5 Pith papers

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  4. Gravitational Bremsstrahlung in Black-Hole Scattering at $\mathcal{O}(G^3)$: Quadratic-in-Spin Effects

    hep-th 2025-05 accept novelty 7.0 of 10

    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.

  5. Consistency of spin effects between numerical relativity and perturbation theory for inspiraling comparable-mass black hole binaries

    gr-qc 2025-10 conditional novelty 6.0 of 10

    Adiabatic point-particle black hole perturbation theory reproduces numerical-relativity spin effects in comparable-mass inspirals to within ~1%, so only small spin-dependent post-adiabatic corrections are needed.

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