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Locating critical solutions in numerical relativity using automatic differentiation — arXiv:2610.01964

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.01964
License (as archived): CC0-1.0
Archived: 2026-10-07T12:21:49.981Z
SHA-256 of the archived text: 6ef2131047748bf45adbf09fbb913d8c924229288334264a76bdd8369b6f905c
Stable URL of this page: https://metraipolis.com/documento/dc_cdace586b70f

How to cite

Locating critical solutions in numerical relativity using automatic differentiation — arXiv:2610.01964 — arXiv (en), https://arxiv.org/abs/2610.01964 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_cdace586b70f (Metraipolis archive dc_cdace586b70f, sha256 6ef2131047748bf45adbf09fbb913d8c924229288334264a76bdd8369b6f905c)

BibTeX

@misc{dccdace586b70f,
  title = {Locating critical solutions in numerical relativity using automatic differentiation — arXiv:2610.01964},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.01964},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_cdace586b70f; sha256 6ef2131047748bf45adbf09fbb913d8c924229288334264a76bdd8369b6f905c},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.01964. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Numerical relativity is a term used to describe the solution of the full non-linear Einstein Equations as an initial value problem using numerical methods. Individual simulations are computationally expensive and in many applications the high complexity of the parameter space and non-linear sensitivity of the solutions makes locating particular outcomes of interest challenging. In this work, we demonstrate how auto-differentiation can efficiently find dynamical solutions of interest, using the classic problem of scalar critical collapse as a proof of principle. We locate a line of critical solutions in a 2D parameter space using 35 runs, compared to the 270 runs required to locate 10 critical points using bisection, and directly calculate the unstable mode, confirming its universality along the line. The method is straightforwardly extendable to higher-dimensional parameter spaces, offering a promising method to efficiently target more complex solutions in strong dynamical gravity regimes.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-10-02 in gr-qc).
Categorie arXiv: General Relativity and Quantum Cosmology (gr-qc).
Pagina del lavoro: https://arxiv.org/abs/2610.01964 — 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 2026-10-07T11:54:42.706Z dalla pagina https://arxiv.org/catchup/gr-qc/2026-10-02?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).