{
  "abstract": "We study the quasinormal mode spectrum and wave-scattering properties of the four-dimensional rational regular black hole recently obtained in non-polynomial (quasi-topological) gravity. Using third-order WKB together with two independent cross-checks a Frobenius--Riccati shooting method and a time-domain evolution we compute the fundamental scalar, electromagnetic, and axial gravitational-type quasinormal frequencies, validating our approach against known Schwarzschild results. We find that as the geometry approaches extremality, its dimensionless ringing frequency is systematically suppressed relative to the Schwarzschild value, a direct and quantifiable imprint of the non-polynomial regularization that we trace, via the photon-sphere correspondence, to the response of the effective potential near the horizon. A Fisher-matrix estimate indicates that this suppression could in principle be resolved by a space-based detector such as LISA for a sufficiently massive and nearby source. We further compute, for the first time, the axial gravitational-type ringdown spectrum of this geometry using the Regge--Wheeler master equation, while noting that a full stability analysis of the underlying gravity theory remains an open problem requiring the linearized field equations of the modified action. Finally, we examine the greybody transmission factors across spins $s=0,1,2$ and show that they follow the same systematic ordering and near-extremal enhancement as the ringing-frequency suppression, pointing to a common physical origin. Together, these results give one of the first quantitative characterizations of the observational signatures and the remaining open theoretical questions of a regular black hole in modified gravity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.29062",
  "author_total": 6,
  "authors": [
    {
      "name": "Shohzod Jumaniyozov"
    },
    {
      "name": "Javlon Rayimbaev"
    },
    {
      "name": "Azam Payzullaev"
    },
    {
      "name": "Bahodir Ahmedov"
    },
    {
      "name": "Ilkhomjon Makhmudov"
    },
    {
      "name": "Farhod Nuraliev"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/edm2k6xczxtnm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.29062",
  "fulltext_url": null,
  "id": "edm2k6xczxtnm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.29062",
  "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": "W7214391644",
  "pdf_url": "https://arxiv.org/pdf/2609.29062",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/edm2k6xczxtnm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:11Z",
      "native_id": "2609.29062",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.29062"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Ringdown and greybody signatures of rational regular black holes in non-polynomial gravity",
  "title_text": "Ringdown and greybody signatures of rational regular black holes in non-polynomial gravity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:11Z",
  "url": "https://research.draconitic.com/paper/edm2k6xczxtnm",
  "venue": "arXiv",
  "versions": []
}