{
  "abstract": "We study how long-range deformations in a black-hole metric affect the oscillation, trapping, and decay of a neutral, minimally coupled massive scalar field. We choose a logarithmic deformation of Reissner-Nordström (RN) sourced by nonlinear electrodynamics. It provides an exact solution of Einstein gravity and admits a finite completion. The same geometry also arises in a phenomenological perfect-fluid dark-matter model. In this setup, we analyze both quasinormal modes (QNMs), which describe relaxation, and quasibound states (QBSs), which describe trapped modes with small horizon absorption. We first show that a small scalar mass moves the potential barrier outward, raises it, and reduces its curvature. First-order WKB then predicts weaker damping at every fixed finite multipole and overtone. We then compare several approaches, namely sixth-order WKB, global matching, a generalized Leaver method (adapted to the logarithmic geometry) and time-domain evolution. All methods yield consistent QNM estimates within their ranges of validity. Global matching and Leaver also agree closely for QBSs. Further analytic estimates with a reference trapped state show that a local Padé approximation gives a binding-energy error of about $0.04\\%$, while leading Gamow tunnelling underestimates damping by about $25\\%$. Across the sampled QBSs, increasing the scalar mass or nonlinear coupling strengthens binding but shortens the lifetime through greater horizon absorption. Finally, using an appropriate horizon regularization and a common complex radial contour, we demonstrate orthogonality of an independently computed QNM-QBS pair using a suitable relativistic bilinear framework.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33883",
  "author_total": 2,
  "authors": [
    {
      "name": "Prosenjit Paul"
    },
    {
      "name": "Rickmoy Samanta"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/26v7ds7wknke7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33883",
  "fulltext_url": null,
  "id": "26v7ds7wknke7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33883",
  "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"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7223853353",
  "pdf_url": "https://arxiv.org/pdf/2610.33883",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/26v7ds7wknke7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.33883",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33883"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Massive Scalar Quasinormal Modes and Quasibound States of Charged Black Holes with Logarithmic corrections",
  "title_text": "Massive Scalar Quasinormal Modes and Quasibound States of Charged Black Holes with Logarithmic corrections",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:50Z",
  "url": "https://research.draconitic.com/paper/26v7ds7wknke7",
  "venue": "arXiv",
  "versions": []
}