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Innermost stable circular orbit (ISCO) of arbitrary-mass compact binaries with spins at the fourth post-Newtonian order — arXiv:2608.07756

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.07756
License (as archived): CC0-1.0
Archived: 2026-10-19T09:34:19.413Z
SHA-256 of the archived text: 1f6772a9b8c94d30a2994c973635dda1b0f56222e08d01cb0157dbfa4626f5db
Stable URL of this page: https://metraipolis.com/documento/dc_edefb69bf366

How to cite

Innermost stable circular orbit (ISCO) of arbitrary-mass compact binaries with spins at the fourth post-Newtonian order — arXiv:2608.07756 — arXiv (en), https://arxiv.org/abs/2608.07756 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_edefb69bf366 (Metraipolis archive dc_edefb69bf366, sha256 1f6772a9b8c94d30a2994c973635dda1b0f56222e08d01cb0157dbfa4626f5db)

BibTeX

@misc{dcedefb69bf366,
  title = {Innermost stable circular orbit (ISCO) of arbitrary-mass compact binaries with spins at the fourth post-Newtonian order — arXiv:2608.07756},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.07756},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_edefb69bf366; sha256 1f6772a9b8c94d30a2994c973635dda1b0f56222e08d01cb0157dbfa4626f5db},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.07756. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We compute, up to 4th post-Newtonian (4PN) order, the gauge-invariant stability criterion determining the innermost stable circular orbit (ISCO) for arbitrary-mass compact binaries with spins aligned with the orbital angular momentum. Our calculation, a perturbation analysis, incorporates spin-orbit and spin-spin contributions, both up to next-to-next-to-leading order, as well as leading-order cubic and quartic spin contributions, all calculated in prior works within the effective-field-theory (EFT) Hamiltonian formalism. In the test-mass limit, we recover the Kerr ISCO truncated at 4PN order. Estimating the ISCO shift at first order in the mass ratio and comparing our results with numerical gravitational self-force (GSF) calculations, we find good agreement for retrograde spin (the smallest discrepancy being obtained for maximal retrograde spin) and moderate prograde spin. For nearly maximal prograde spin, the PN approach fails to determine the ISCO, for it is close to the black hole (BH) horizon. We also estimate the ISCO shift due to the test-particle spin and compare our result with the exact prediction from the Mathisson-Papapetrou-Dixon (MPD) equations for a spinning particle orbiting a Kerr black hole. Finally, we discuss the stability and the ISCO of corotating black-hole binaries.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-08-11 in gr-qc).
Categorie arXiv: General Relativity and Quantum Cosmology (gr-qc).
Pagina del lavoro: https://arxiv.org/abs/2608.07756 — 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 2026-10-19T09:29:47.439Z dalla pagina https://arxiv.org/catchup/gr-qc/2026-08-11?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).