{
  "abstract": "Linear perturbations of a Schwarzschild-MOG black hole separate into scalar and gravito-vector sectors in the reduced strong-field theory at leading order in $μ\\bar G M\\ll1$. The field redefinition $\\widehat h_{μν}=h_{μν}-ψ\\bar g_{μν}$ gives a decoupled Klein--Gordon equation for the scalar and the Reissner--Nordström equations for the gravito-vector sector. The scalar is stable under the stated spectral boundary conditions for $m_G^2\\ge0$. A scalar-only excitation produces a conformal metric perturbation with null Hamiltonian contribution $H_1^{(s)}=-ψH_0$. For fixed observer worldlines and conformally corresponding orthonormal frames, every linear scalar-to-critical-curve transfer coefficient vanishes, including monopole breathing, provided the conformal factor is smooth, positive, and preserves the capture boundary. The exceptional charged axial dipole instead induces a constrained metric perturbation. A first-order radial integral reconstructs this perturbation in a gauge regular at the future horizon and on the sphere, separating the radiative amplitude from stationary angular momentum without division by frequency. For a unit-incident canonical vector amplitude with zero angular momentum, matched asymptotic solutions give an explicit charge-dependent local metric response that vanishes as $ω^2$ at fixed radius and fixed subextremal background. A separate infinitesimal Kerr--Newman benchmark yields the stationary impact-parameter midpoint shift and recovers $δC_b=-2a_{\\rm rot}$ in the neutral limit. These results exclude linear scalar breathing of the specified angular critical curve and distinguish the low-frequency vector-induced metric response from a stationary rotation effect.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.03751",
  "author_total": 2,
  "authors": [
    {
      "name": "Nikko John Leo S. Lobos"
    },
    {
      "name": "Emmanuel T. Rodulfo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7z2wd0vfhqwhf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.03751",
  "fulltext_url": null,
  "id": "7z2wd0vfhqwhf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.03751",
  "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",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7220745784",
  "pdf_url": "https://arxiv.org/pdf/2610.03751",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7z2wd0vfhqwhf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.03751",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.03751"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Scalar decoupling and critical-curve invariance in a reduced MOG black-hole theory",
  "title_text": "Scalar decoupling and critical-curve invariance in a reduced MOG black-hole theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/7z2wd0vfhqwhf",
  "venue": "arXiv",
  "versions": []
}