{
  "abstract": "We provide an explicit rotating black-hole realization of the predicted \\(\\overline{W}^{1-}\\) thermodynamic topological subclass by studying a slowly rotating, magnetically charged Kerr black hole in nonlinear electrodynamics (NLED). Using a reduced fixed-parameter off-shell potential, we derive the inverse-temperature curve analytically rather than relying solely on numerical plots. In AdS spacetime, this curve begins at a finite nonzero value, increases monotonically, and diverges at large horizon radius; it therefore contains exactly one defect with \\(w=W=-1\\) and has no stable large-black-hole branch. Positivity of the analytic coefficient establishes this result throughout the admissible slow-rotation parameter domain. Under the same reduced prescription, the Kerr-AdS benchmark instead has two branches and belongs to the \\(W^{0-}\\) class, establishing a clear topological distinction between the NLED-Kerr and classical rotating cases. In dS spacetime, the formally extended off-shell curve remains monotonic and any isolated zero has \\(w=-1\\); because the parameter-dependent horizon-admissible range is not fixed in the present reduced analysis, no physical dS asymptotic subclass is assigned.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.16568",
  "author_total": 3,
  "authors": [
    {
      "name": "Peng Zhao"
    },
    {
      "name": "Yu-Die Wan"
    },
    {
      "name": "Zheng-Wen Long"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7apdf3a1bge3y.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.16568",
  "fulltext_url": null,
  "id": "7apdf3a1bge3y",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.16568",
  "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",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7213423623",
  "pdf_url": "https://arxiv.org/pdf/2609.16568",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7apdf3a1bge3y.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2609.16568",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.16568"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Thermodynamic topological classification of magnetically charged slowly rotating Kerr black holes in nonlinear electrodynamics with a cosmological constant",
  "title_text": "Thermodynamic topological classification of magnetically charged slowly rotating Kerr black holes in nonlinear electrodynamics with a cosmological constant",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/7apdf3a1bge3y",
  "venue": "arXiv",
  "versions": []
}