{
  "abstract": "In this work, we investigate massive particle motion and the gravitational wave emission generated by periodic trajectories around a non--commutative \\textit{Schwarzschild} black hole sourced by a Lorentzian matter distribution. We analyze the effective potential, the marginally bound orbit, and the innermost stable circular orbit, showing that non--commutative corrections shift these characteristic orbits toward smaller radii and reduce their corresponding angular momenta. The allowed region in the $(E, L)$ plane is also displaced toward lower values, favoring more tightly bound configurations. Periodic trajectories are classified through the rational parameter $q$, which relates the radial and azimuthal frequencies. For a fixed orbital topology, increasing the non--commutative parameter lowers the energy required to produce the orbit and results in more compact zoom--whirl configurations. Small deviations from the periodic energies are also shown to generate precessional drift. From the periastron advance of the S2 star around Sgr~A$^*$, we obtain the preliminary bound $Θ/M^{2}<0.014$. Finally, using the adiabatic and numerical kludge approximations, we compute the gravitational wave polarizations and find phase shifts and an overall enhancement of the amplitude.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Annals Phys. 495 (2026) 170773",
  "arxiv": "2606.26182",
  "author_total": 4,
  "authors": [
    {
      "name": "N. Heidari"
    },
    {
      "name": "A. A. Araújo Filho"
    },
    {
      "name": "I. P. Lobo"
    },
    {
      "name": "V. B. Bezerra"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5d0b1dks29ncd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.26182",
  "fulltext_url": null,
  "id": "5d0b1dks29ncd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.26182",
  "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/2606.26182",
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5d0b1dks29ncd.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:58Z",
      "native_id": "2606.26182",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.26182"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Gravitational Wave Signatures from Periodic Orbits around a Non--commutative Schwarzschild Black Hole",
  "title_text": "Gravitational Wave Signatures from Periodic Orbits around a Non--commutative Schwarzschild Black Hole",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:17Z",
  "url": "https://research.draconitic.com/paper/5d0b1dks29ncd",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1016/j.aop.2026.170773",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}