{
  "abstract": "Black-hole shadows and geometrothermodynamics (GTD) are defined in different spaces but depend on the same macroscopic black-hole parameters. We review their correspondence for Reissner--Nordström (RN), Kerr, and Kerr--AdS black holes. The three GTD metrics reveal complementary thermodynamic structures, including Davies instabilities, extremal and degenerate limits, and regular curvature zeros, which can be mapped to shadow configurations. Kerr--AdS extends this correspondence to asymmetric shadows and multidimensional equilibrium states. We formulate a local Jacobian-rank criterion for thermodynamic reconstruction from shadow observables and discuss shadow--microstructure (SM) diagrams as optical representations of GTD-classified equilibrium states. The application to Sagittarius A* illustrates the inverse problem: shadow observations constrain thermodynamic states and provide a basis for identifying additional metric-dependent observables that could distinguish among the GTD metric structures.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.10638",
  "author_total": 4,
  "authors": [
    {
      "name": "Hernando Quevedo"
    },
    {
      "name": "Jose M. Ladino"
    },
    {
      "name": "Carlos E. Romero-Figueroa"
    },
    {
      "name": "Sasha A. Zaldivar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1ewxmdqt2yp2n.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.10638",
  "fulltext_url": null,
  "id": "1ewxmdqt2yp2n",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.10638",
  "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": "W7221112498",
  "pdf_url": "https://arxiv.org/pdf/2610.10638",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1ewxmdqt2yp2n.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:54Z",
      "native_id": "2610.10638",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.10638"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Geometrothermodynamics of Black Hole Shadows: A Review",
  "title_text": "Geometrothermodynamics of Black Hole Shadows: A Review",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:54Z",
  "url": "https://research.draconitic.com/paper/1ewxmdqt2yp2n",
  "venue": "arXiv",
  "versions": []
}