{
  "abstract": "Currently, the only second-order gravitational self-force calculations have been based on directly solving the perturbative Einstein equations in the Lorenz gauge. That method relied on the complete separability of the Einstein equations in a Schwarzschild background. In this paper, we present a new scheme based on the second-order Teukolsky equation. Crucially, this method promises to extend (reasonably straightforwardly) to the more realistic case of a Kerr background. Here we implement the scheme in the simplest setting of quasicircular orbits around a Schwarzschild black hole. In addition to working with the Teukolsky equation, our scheme incorporates several other advances over previous second-order self-force calculations: compactified hyperboloidal slicing, transformation to a Bondi-Sachs gauge, and a combination of spectral and variation-of-parameters methods. We also use these tools to re-examine the infrared divergences that arise in second-order Lorenz-gauge calculations, showing they are less pronounced in the Teukolsky case and completely eliminated in the Bondi-Sachs gauge. We conclude by calculating the asymptotic energy fluxes and benchmarking them against previous Lorenz-gauge calculations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08995",
  "author_total": 7,
  "authors": [
    {
      "name": "Benjamin Leather"
    },
    {
      "name": "Andrew Spiers"
    },
    {
      "name": "Adam Pound"
    },
    {
      "name": "Samuel D. Upton"
    },
    {
      "name": "Barry Wardell"
    },
    {
      "name": "Leanne Durkan"
    },
    {
      "name": "Niels Warburton"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6pm4v93snk2rh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08995",
  "fulltext_url": null,
  "id": "6pm4v93snk2rh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.08995",
  "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",
      "3103|Pulsars and Gravitational Waves Research"
    ]
  ],
  "openalex": "W7212012740",
  "pdf_url": "https://arxiv.org/pdf/2609.08995",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6pm4v93snk2rh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:52Z",
      "native_id": "2609.08995",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08995"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Second-order Teukolsky calculations for nonspinning, quasicircular binaries",
  "title_text": "Second-order Teukolsky calculations for nonspinning, quasicircular binaries",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:52Z",
  "url": "https://research.draconitic.com/paper/6pm4v93snk2rh",
  "venue": "arXiv",
  "versions": []
}