{
  "abstract": "We study slowly rotating, nonlinearly charged black holes in arbitrary spacetime dimension $d \\geq 4$, using a generalized Lense--Thirring ansatz. Working to linear order in the rotation parameters, we solve the Einstein--nonlinear electrodynamics (NLE) field equations for restricted theories ${\\cal L}({\\cal S})$ depending on single invariant. We provide an extension of the four-dimensional \"No Go theorem\" proven in ArXiv:2203.01919 and demonstrate the uniqueness of Maxwell theory in $d \\geq 4$. Similar to four dimensions, it is proven that the standard rotation generating trick fails to produce full rotating solutions for any nontrivial NLE in higher dimensions. We identify a family of NLE theories admitting slowly rotating solutions with vector potentials encoding rotation effect in Maxwell-like manner; in four dimensions this reproduces the previously found RegMax theory, while in $d\\geq4$ we obtain the corresponding electric potential in closed form and the associated Lagrangian implicitly as a function of the radial coordinate.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.15540",
  "author_total": 1,
  "authors": [
    {
      "name": "Tayebeh Tahamtan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b06qzwcmpbnky.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.15540",
  "fulltext_url": null,
  "id": "b06qzwcmpbnky",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.15540",
  "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": "W7213226519",
  "pdf_url": "https://arxiv.org/pdf/2609.15540",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b06qzwcmpbnky.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2609.15540",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.15540"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Higher-Dimensional Slowly Rotating Black Holes in Nonlinear Electrodynamics",
  "title_text": "Higher-Dimensional Slowly Rotating Black Holes in Nonlinear Electrodynamics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:25Z",
  "url": "https://research.draconitic.com/paper/b06qzwcmpbnky",
  "venue": "arXiv",
  "versions": []
}