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Effective metric for bound state in an effective-one-body theory based on the third-post-Minkowskian approximation — arXiv:2608.15723

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.15723
License (as archived): CC0-1.0
Archived: 2026-10-19T02:01:28.073Z
SHA-256 of the archived text: b9cd67971326ae3badabf948ef431bac0dc1fe0638a92e1e68c1cdd7cc242765
Stable URL of this page: https://metraipolis.com/documento/dc_f4565ea802e5

How to cite

Effective metric for bound state in an effective-one-body theory based on the third-post-Minkowskian approximation — arXiv:2608.15723 — arXiv (en), https://arxiv.org/abs/2608.15723 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_f4565ea802e5 (Metraipolis archive dc_f4565ea802e5, sha256 b9cd67971326ae3badabf948ef431bac0dc1fe0638a92e1e68c1cdd7cc242765)

BibTeX

@misc{dcf4565ea802e5,
  title = {Effective metric for bound state in an effective-one-body theory based on the third-post-Minkowskian approximation — arXiv:2608.15723},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.15723},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_f4565ea802e5; sha256 b9cd67971326ae3badabf948ef431bac0dc1fe0638a92e1e68c1cdd7cc242765},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.15723. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

The effective-one-body (EOB) framework, originally formulated within the post-Newtonian (PN) expansion, is central to modeling and interpreting gravitational-wave signals. Recent developments have incorporated the post-Minkowskian (PM) expansion into EOB theory. In this work, we focus on the bound state dynamics in the PM approximation up to the third order and construct the core ingredients of EOB: the effective metric. We examine two correspondence strategies, one based on the radial action variable and the other on the precession angle. We demonstrate that the radial action variable provides a consistent correspondence, which is further verified by the correspondence based on the precession angle. Building on these results, we adopt an isotropic gauge with a Schwarzschild-like parametrization to fix the remaining freedom. Within this parametrization, the effective metric coefficients are determined at 3PM order. Our results provide a consistent effective metric for the bound state dynamics.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-08-18 in gr-qc).
Categorie arXiv: General Relativity and Quantum Cosmology (gr-qc) ; High Energy Astrophysical Phenomena (astro-ph.HE).
Pagina del lavoro: https://arxiv.org/abs/2608.15723 — 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 2026-10-19T01:05:38.767Z dalla pagina https://arxiv.org/catchup/gr-qc/2026-08-18?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).