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Far-Zone Gravitational Interactions at the Sixth Post-Newtonian Order — arXiv:2610.42057

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.42057
License (as archived): CC0-1.0
Archived: 2026-11-02T05:13:23.981Z
SHA-256 of the archived text: cec84088e3459739c9b604099a716fda17ad01d96800a944b51e3242cad4758d
Stable URL of this page: https://metraipolis.com/documento/dc_5dfbf0fc650d

How to cite

Far-Zone Gravitational Interactions at the Sixth Post-Newtonian Order — arXiv:2610.42057 — arXiv (en), https://arxiv.org/abs/2610.42057 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_5dfbf0fc650d (Metraipolis archive dc_5dfbf0fc650d, sha256 cec84088e3459739c9b604099a716fda17ad01d96800a944b51e3242cad4758d)

BibTeX

@misc{dc5dfbf0fc650d,
  title = {Far-Zone Gravitational Interactions at the Sixth Post-Newtonian Order — arXiv:2610.42057},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.42057},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_5dfbf0fc650d; sha256 cec84088e3459739c9b604099a716fda17ad01d96800a944b51e3242cad4758d},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.42057. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We compute the nonlinear far-zone dynamics of compact binaries at the sixth post-Newtonian (6PN) order in the effective field theory of general relativity. We derive the complete $\mathcal{O}(G^2)$ far-zone action of a generic multipolar source in both the causal and the conservative prescriptions. Besides the known tails and failed tails, it contains five new sectors generated by the nonlinear memory of the emitted waves. On scattering orbits, they contain a boundary term, nonlocal in time, fixed by the balance of angular momentum. The same construction yields the emitted waveforms, whose energy and angular-momentum fluxes balance the losses of the action. For the binary, the 6PN dynamics also requires PN corrections to the lower-order sectors, the iterated radiation reaction, and a coupling quadratic in the curvature of the composite source, whose coefficient we fix by matching the gravitational Compton amplitude to that of the constituents. We compute the two-radiation contributions to the total scattering angle at fourth, fifth and sixth post-Minkowskian (PM) order and to the conservative angle at 4PM and 5PM, retaining the integer-PN terms through 6PN. For the conservative angle, we give both the local and $\gamma$-3 prescriptions. Combined with the tail and the known potential contributions, our results reproduce the conservative and total 4PM angles and the second-self-force part of the conservative 5PM angle. Including the dissipative tail, we recover the total 5PM angle through 5PN and determine its new 6PN coefficient. At 6PM, the two-radiation contribution to the total angle extends the known 5PN result to 6PN.

Tema degli esploratori: fisica e astronomia (elenco arXiv gr-qc, nuovi lavori del giorno).
Categorie arXiv: High Energy Physics - Theory (hep-th) ; General Relativity and Quantum Cosmology (gr-qc).
Pagina del lavoro: https://arxiv.org/abs/2610.42057 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-02T04:55:28.261Z dalla pagina https://arxiv.org/list/gr-qc/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).