{
  "abstract": "Perturbative instabilities generically puzzles singularity-free spacetimes, including non-singular bounce, traversible wormholes and regular black holes (RBHs). Can the scalar-tensor (ST) theories that stabilize the first two also stabilize RBHs? We show that the answer is no for static, spherically symmetric RBHs supported by a radial scalar field within a broad class of ST theories. In any RBHs with two-horizon structure, the ratio of the longitudinal scale to the sphere radius must attain an interior maximum. The proper-time derivative of that ratio is associated to the squared propagation speed of odd-parity tensor perturbations by the background field equations in a broad class of scalar-tensor theories. A Lorentzian odd-tensor cone then requires a local minimum instead of a maximum. This conflicts indicate a geometric no-go theorem, covering a broad class of ST theories including spatially covariant gravity, Horndeski theory, quadratic GLPV, DHOST, and U-DHOST theories, and their admissible disformal extensions. Viable RBHs therefore require relaxing at least one geometric or dynamical assumption.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06460",
  "author_total": 4,
  "authors": [
    {
      "name": "Shulang Peng"
    },
    {
      "name": "Jun Tao"
    },
    {
      "name": "Mian Zhu"
    },
    {
      "name": "Yi-Fu Cai"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8sp70fh5gy2q7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06460",
  "fulltext_url": null,
  "id": "8sp70fh5gy2q7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06460",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06460",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8sp70fh5gy2q7.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:20:56Z",
      "native_id": "2611.06460",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06460"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "A Geometric No-Go Theorem for Regular Black Holes in Scalar-Tensor Theories",
  "title_text": "A Geometric No-Go Theorem for Regular Black Holes in Scalar-Tensor Theories",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:20Z",
  "url": "https://research.draconitic.com/paper/8sp70fh5gy2q7",
  "venue": "arXiv",
  "versions": []
}