{
  "abstract": "We study spontaneous scalarization of static, spherically symmetric black holes in scalar--Gauss--Bonnet gravity with a Ricci coupling $F=1 βϕ^{2}/4+γβ^{2}ϕ^{4}+O(ϕ^{6})$ that nonlinearly completes the quadratic one. For arbitrary couplings and potential, we derive the near-horizon regularity condition and horizon curvature invariants in closed form; scalarized branches terminate where this condition degenerates, at finite horizon curvature. A weakly nonlinear expansion fixes the bifurcation direction exactly: for a massless scalar, its governing coefficient is quadratic in $β$, changes sign at $β=1.1156$, and depends linearly on a quartic self-interaction. At equal horizon values of the scalar, completions differ in mass, to leading order, in proportion to $γ$. A radial-perturbation master equation for arbitrary couplings confirms the exchange of stability at the bifurcation and turning points. Consequently, the domain of radially stable black holes shrinks as $γ$ increases over the range studied; it is smaller for the exponential completion than for the quadratic truncation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.03779",
  "author_total": 1,
  "authors": [
    {
      "name": "Subrat Parida"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5yrwdt7e931ww.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.03779",
  "fulltext_url": null,
  "id": "5yrwdt7e931ww",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.03779",
  "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"
    ],
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7220724034",
  "pdf_url": "https://arxiv.org/pdf/2610.03779",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5yrwdt7e931ww.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.03779",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.03779"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Nonlinear completions of the Ricci coupling in black-hole scalarization",
  "title_text": "Nonlinear completions of the Ricci coupling in black-hole scalarization",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/5yrwdt7e931ww",
  "venue": "arXiv",
  "versions": []
}