{
  "abstract": "This work constructs an anisotropic, Einasto-profile fuzzy dark matter (DM) black hole (BH) using a logarithmically-corrected Starobinsky gravity, $f(R)=R+βR^2+γR^2\\ln(R/μ^2)$, a form motivated by one-loop quantum corrections to the gravitational action rather than by the pure quadratic term alone. We derive the generalized trace equation for this action, show that its $β$- and $γ$-dependence collapses to a single compact source term, and solve the resulting field equations perturbatively about an exact general-relativistic (GR) background for two distinct anisotropic equations of state: a de~Sitter-type branch and a non-local branch, the latter worked through to a closed tangential-pressure profile rather than left incomplete. The logarithmic correction is found to raise the extremal (zero-temperature) threshold relative to pure quadratic gravity and to increase the core tangential pressure noticeably in the non-local branch.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35974",
  "author_total": 4,
  "authors": [
    {
      "name": "M. Ilyas"
    },
    {
      "name": "Fatima Bint-e-Munir"
    },
    {
      "name": "Rana Zaman Ahmad"
    },
    {
      "name": "M. Shahan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1v6eej9vctb9n.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35974",
  "fulltext_url": null,
  "id": "1v6eej9vctb9n",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.35974",
  "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",
      "physics.gen-ph"
    ],
    [
      "openalex",
      "3103|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7224078891",
  "pdf_url": "https://arxiv.org/pdf/2610.35974",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1v6eej9vctb9n.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2610.35974",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35974"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "openalex:3103|Cosmology and Gravitation Theories",
      "subfield": "cosmology"
    }
  ],
  "title": "Structure of Logarithmically-Corrected Starobinsky Fuzzy Dark Matter Black Holes",
  "title_text": "Structure of Logarithmically-Corrected Starobinsky Fuzzy Dark Matter Black Holes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:50Z",
  "url": "https://research.draconitic.com/paper/1v6eej9vctb9n",
  "venue": "arXiv",
  "versions": []
}