{
  "abstract": "We study a real scalar field nonminimally coupled to curvature on a fixed Ellis wormhole background. The scalar perturbation decouples at linear order, and the substitution $ x=a \\tan z $ reduces its static radial equation to a trigonometric Pöschl-Teller problem. This yields the exact threshold spectrum $ ζ_{n\\ell}=(n+\\ell+1)^2/2 $, closed-form Gegenbauer profiles, and an exact count of negative radial eigenvalues in each angular sector. The s-wave thresholds are zero-energy resonances at which the growth rate rises linearly, whereas the $ \\ell \\geq1\\ $ threshold states are square integrable and the growth rate rises as a square root. At the first threshold we also obtain the next-order term, $ σa=(π/4)g-(3π/16)g^2+O(g^3) $ with $g=2ζ-1 $. For a probe field with quartic self-interaction, we show that no nontrivial spherical static solution exists for $ζ\\leq1/2 $ and derive local branch expansions near the s-wave thresholds. Numerical evolutions are consistent with saturation on the nodeless branch. These nonlinear results refer to the probe-field model; they do not establish the existence or stability of fully backreacted scalarized wormholes.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00541",
  "author_total": 3,
  "authors": [
    {
      "name": "Abdullah Guvendi"
    },
    {
      "name": "Omar Mustafa"
    },
    {
      "name": "Claudio Furtado"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/18y4vybd0zrwg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00541",
  "fulltext_url": null,
  "id": "18y4vybd0zrwg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00541",
  "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"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00541",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/18y4vybd0zrwg.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.00541",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00541"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Exact scalarization thresholds and onset laws for a nonminimally coupled scalar field on the Ellis wormhole",
  "title_text": "Exact scalarization thresholds and onset laws for a nonminimally coupled scalar field on the Ellis wormhole",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/18y4vybd0zrwg",
  "venue": "arXiv",
  "versions": []
}