{
  "abstract": "We present a calculation of the first-order metric perturbation arising from a point mass moving on a circular, equatorial orbit in Kerr spacetime. The metric perturbation is specifically aimed at meeting the requirements of second-order self-force theory: it is highly accurate; incorporates all contributions, including those associated with perturbations to the black hole's mass and angular momentum; is in Lorenz gauge near the worldline and in (near) Bondi--Sachs gauge at large radius; and can be efficiently evaluated across the entire exterior spacetime. The Lorenz gauge gives a well-understood singular structure at the particle, while the (near) Bondi--Sachs gauge ensures the asymptotic fall-off needed for an asymptotically flat second-order source. Our formalism reconstructs the metric from separable Teukolsky-type equations, decomposed into spin-weighted spheroidal harmonic modes and solved spectrally on hyperboloidal slices. The resulting $(\\ell,m)$-mode sums converge rapidly across most of the domain, but slowly near the point mass; we overcome this with a novel use of a puncture to extract accurate $m$-mode data, yielding output accurate to $\\sim 10^{-10}$ per $m$-mode and suitable for use at second order. Our metric-perturbation results cover a range of Kerr spins $-0.9 \\le a/M \\le 0.9$ and orbital radii out to $50M$. In addition to its immediate application in second-order self-force calculations, our results can also be used as input to other calculations involving Kerr metric perturbations, including studies of environmental effects and quasinormal modes.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03888",
  "author_total": 11,
  "authors": [
    {
      "name": "Benjamin Leather"
    },
    {
      "name": "Samuel D. Upton"
    },
    {
      "name": "Patrick Bourg"
    },
    {
      "name": "Kevin O. Cunningham"
    },
    {
      "name": "Sam R. Dolan"
    },
    {
      "name": "Conor Dyson"
    },
    {
      "name": "Zachary Nasipak"
    },
    {
      "name": "Nami Nishimura"
    },
    {
      "name": "Andrew Spiers"
    },
    {
      "name": "Maarten van de Meent"
    },
    {
      "name": "Barry Wardell"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8p5vk4n94bvph.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03888",
  "fulltext_url": null,
  "id": "8p5vk4n94bvph",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03888",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03888",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8p5vk4n94bvph.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:25Z",
      "native_id": "2611.03888",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03888"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Kerr metric perturbations for second-order self-force theory",
  "title_text": "Kerr metric perturbations for second-order self-force theory",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/8p5vk4n94bvph",
  "venue": "arXiv",
  "versions": []
}