{
  "abstract": "We formulate a generally covariant extension of London electrodynamics in four-dimensional curved spacetime and investigate the propagation of electromagnetic perturbations in a superconducting medium surrounding a black hole. The ordinary London relation is promoted to a gauge-invariant four-dimensional constitutive equation involving the electromagnetic four-potential and the phase of the superconducting condensate. When combined with the covariant Maxwell equations, the resulting system is equivalent, in the London (unitary) gauge, to a Proca theory with an effective photon mass set by the inverse London penetration depth. We derive the corresponding Schrödinger-like wave equations for electromagnetic perturbations in the axial and polar sectors of the Schwarzschild spacetime in the presence of the superconducting plasma. The axial sector is governed by a single Regge--Wheeler-type equation whose effective potential contains the London mass term, whereas the polar sector contains two coupled physical degrees of freedom. Quasinormal-mode boundary conditions are formulated for the Schwarzschild geometry. The London penetration depth shifts the oscillation frequencies, modifies the damping rates, and can generate long-lived quasibound configurations when the effective field mass is sufficiently large. This formalism provides a framework for studying electromagnetic relaxation in curved superconducting media, compact objects containing superconducting phases, and effective massive-vector fields around black holes.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.03761",
  "author_total": 6,
  "authors": [
    {
      "name": "Bobur Turimov"
    },
    {
      "name": "Akbar Davlataliev"
    },
    {
      "name": "Bobomurat Ahmedov"
    },
    {
      "name": "Chengxun Yuan"
    },
    {
      "name": "Chen Zhou"
    },
    {
      "name": "Sulton Usanov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/821d74akj3sgt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.03761",
  "fulltext_url": null,
  "id": "821d74akj3sgt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.03761",
  "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": "W7220698903",
  "pdf_url": "https://arxiv.org/pdf/2610.03761",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/821d74akj3sgt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.03761",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.03761"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Electromagnetic quasinormal modes of a Schwarzschild black hole in a superconducting plasma",
  "title_text": "Electromagnetic quasinormal modes of a Schwarzschild black hole in a superconducting plasma",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/821d74akj3sgt",
  "venue": "arXiv",
  "versions": []
}