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Event Detection and Finite-Grid Effects at an Imposed Absorbing Boundary in Newtonian Black Hole Orbit Integrations — arXiv:2609.25137

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.25137
License (as archived): CC0-1.0
Archived: 2026-10-09T06:14:16.041Z
SHA-256 of the archived text: 94d6d1c38986f579f7a25ef12ab11936761a6cc2cf16a9e6e5509b10c7b63f68
Stable URL of this page: https://metraipolis.com/documento/dc_ae148e4fc149

How to cite

Event Detection and Finite-Grid Effects at an Imposed Absorbing Boundary in Newtonian Black Hole Orbit Integrations — arXiv:2609.25137 — arXiv (en), https://arxiv.org/abs/2609.25137 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_ae148e4fc149 (Metraipolis archive dc_ae148e4fc149, sha256 94d6d1c38986f579f7a25ef12ab11936761a6cc2cf16a9e6e5509b10c7b63f68)

BibTeX

@misc{dcae148e4fc149,
  title = {Event Detection and Finite-Grid Effects at an Imposed Absorbing Boundary in Newtonian Black Hole Orbit Integrations — arXiv:2609.25137},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.25137},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_ae148e4fc149; sha256 94d6d1c38986f579f7a25ef12ab11936761a6cc2cf16a9e6e5509b10c7b63f68},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.25137. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Numerical classification of black-hole orbits can depend on how prescribed inner capture or absorbing boundaries are implemented. This study investigated how discrete evaluation of such a boundary affects orbit classification. Massless particles were integrated about an isolated Newtonian point mass and initialized at periapsis with an absorbing boundary at rsink = 104RS. Because the Keplerian periapsis q is constant, the expected classification can be analytically determined. A classifier omitting evaluation at initialization can miss particles that already satisfy the removal criterion, but evaluation at t = 0 reproduced the analytic classification on every sampled grid. As the grid resolution increased, the inferred critical periapsis approached the imposed sink radius. These results demonstrate that an apparent critical periapsis can depend on both the imposed boundary and its numerical evaluation, emphasizing the need to distinguish numerical effects from genuine dynamical thresholds.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-23 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/2609.25137 — 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 2026-10-09T05:48:04.306Z dalla pagina https://arxiv.org/catchup/gr-qc/2026-09-23?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).