{
  "abstract": "Static, asymptotically flat, non-Schwarzschild black holes in four-dimensional Einstein--Weyl gravity have previously been constructed by numerical shooting, while the local field equations admit horizon and asymptotic expansions to all orders. We give a computer assisted existence proof for a non-Schwarzschild solution whose dimensionless horizon radius is one in units of the massive spin-two scale, with parameters close to the previously reported numerical branch. The exterior is divided into a convergent horizon series domain, a compact core enclosed by a parameter dependent Taylor model with directed rounding, and an infinite asymptotic domain treated as a centered stable manifold fixed point problem. The resulting five-dimensional matching map between the core and tail is continuous on a rigorously specified box. After exact rational preconditioning, the signs on opposite faces satisfy the hypotheses of the Poincaré--Miranda theorem and therefore certify a matching zero. The solution has a regular nondegenerate horizon, no additional exterior horizon, vanishing Ricci scalar, and nonvanishing Ricci tensor. The strict bounds also imply existence at every sufficiently nearby horizon radius and a local continuous family at fixed coupling. The proof establishes existence, but not uniqueness of the matching zero.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.21797",
  "author_total": 2,
  "authors": [
    {
      "name": "Kevin Goldstein"
    },
    {
      "name": "Vishnu Jejjala"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6my5xw84zegxa.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.21797",
  "fulltext_url": null,
  "id": "6my5xw84zegxa",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.21797",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7213922826",
  "pdf_url": "https://arxiv.org/pdf/2609.21797",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6my5xw84zegxa.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2609.21797",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.21797"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "A computer assisted existence proof for a non-Schwarzschild black hole in Einstein--Weyl gravity",
  "title_text": "A computer assisted existence proof for a non-Schwarzschild black hole in Einstein--Weyl gravity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/6my5xw84zegxa",
  "venue": "arXiv",
  "versions": []
}