{
  "abstract": "We examine the field produced by a stationary current loop encircling a static Bocharova--Bronnikov--Melnikov--Bekenstein (BBMB) black hole and the response of charged test particles. From the dipole projection of Maxwell's equations, we obtain closed-form interior and exterior radial functions, and we test them against a multipole expansion of the localized source whose radial functions are also elementary. Every horizon-regular mode vanishes at the degenerate horizon $r_+=M$, so the magnetic flux through the horizon is zero. For a loop at $r_0=10M$, the dipole errors in the equatorial potential and polar field remain below $10\\%$ for $r\\lesssim0.42\\,r_0$ and $r\\gtrsim3.02\\,r_0$, but reach about $40\\%$ and $80\\%$ close to the loop. Using the resulting potential, we study the effective potential, circular orbits, the innermost stable circular orbit (ISCO), a binding-energy proxy, and epicyclic frequencies. Because the dipole field reverses its equatorial direction across the loop, a positive magnetic coupling $\\mathcal{B}$ acts oppositely on the two sides. Above $\\mathcal{B}_c\\simeq0.0119$, the prograde radially stable orbits split into two bands separated by an unstable gap. At $\\mathcal{B}=0.2$, the ISCO moves from $4M$ to $2.97M$, the exterior band begins at $45.46M$, and the ISCO binding-energy proxy grows from $8.14\\%$ to $23.39\\%$, compared with $5.72\\%$ for neutral particles around a Schwarzschild black hole. For negative coupling, exterior orbits can be radially stable but vertically unstable. Higher multipoles preserve the large-coupling trends but shift the near-loop values appreciably, so the near-loop results apply to the projected source rather than to a thin ring.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.07525",
  "author_total": 6,
  "authors": [
    {
      "name": "Ozodbek Abdurakhmonov"
    },
    {
      "name": "Mardon Abdullaev"
    },
    {
      "name": "Javlon Rayimbaev"
    },
    {
      "name": "Ilkhomjon Makhmudov"
    },
    {
      "name": "Saidmuhammad Ahmedov"
    },
    {
      "name": "Muhammad Matyoqubov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7g5x6v558bxha.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.07525",
  "fulltext_url": null,
  "id": "7g5x6v558bxha",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.07525",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.07525",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7g5x6v558bxha.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:30Z",
      "native_id": "2611.07525",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.07525"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Circular motion and fundamental frequencies of charged particles in dipole magnetic field around magnetized Bocharova--Bronnikov--Melnikov--Bekenstein black holes",
  "title_text": "Circular motion and fundamental frequencies of charged particles in dipole magnetic field around magnetized Bocharova--Bronnikov--Melnikov--Bekenstein black holes",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:41Z",
  "url": "https://research.draconitic.com/paper/7g5x6v558bxha",
  "venue": "arXiv",
  "versions": []
}