{
  "abstract": "We study equatorial timelike geodesics and associated gravitational-wave (GW) emission for a static Horndeski black hole with secondary scalar hair, characterized by an effective pressure parameter $p_{\\mathrm{eff}}$. Using the rational-orbit taxonomy $(z,w,v)$, we analyze the innermost stable circular orbit (ISCO), marginally bound orbit (MBO), and periodic bound orbits. We find that increasing $p_{\\mathrm{eff}}$ systematically shifts orbital radii outward and modifies the rational parameter $q$. Within the test-particle and quadrupole approximations, we estimate GW signals from an extreme mass-ratio inspiral (EMRI) system at a luminosity distance of $D_L=8000\\,\\mathrm{pc}$. The characteristic strains reach $\\sim10^{-18}$ in the mHz band, partially overlapping the nominal LISA sensitivity range. These results demonstrate that Horndeski corrections systematically alter strong-field orbital dynamics and GW spectra, offering a phenomenological probe of deviations from general relativity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.07596",
  "author_total": 4,
  "authors": [
    {
      "name": "Wei Gao"
    },
    {
      "name": "Xiaoyan Zhu"
    },
    {
      "name": "Wenbin Lin"
    },
    {
      "name": "Siming Liu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c7ntc9ccn9c77.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.07596",
  "fulltext_url": null,
  "id": "c7ntc9ccn9c77",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.07596",
  "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"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.07596",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c7ntc9ccn9c77.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:30Z",
      "native_id": "2611.07596",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.07596"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Rational Orbits and Gravitational-Wave Signatures around a Horndeski Black Hole",
  "title_text": "Rational Orbits and Gravitational-Wave Signatures around a Horndeski Black Hole",
  "type": "preprint",
  "updated_at": "2026-11-08T18:20:56Z",
  "url": "https://research.draconitic.com/paper/c7ntc9ccn9c77",
  "venue": "arXiv",
  "versions": []
}