{
  "abstract": "We investigate bounds on the minimum orbital period around four-dimensional general static spherical black holes. For all static spherically symmetric black holes with an event horizon, asymptotic flatness and non-negative energy density outside the horizon, we prove $T_{\\min}\\leq 6\\sqrt{3}\\,πM$. The bound is sharp and is saturated by the Schwarzschild solution. The lower bound requires an additional condition on the exterior matter: under the tangential pressure condition $p_τ\\geq(κ/2)ρ$ with $κ>1$, imposed for all $r\\geq r_{g}$, where $r_{g}$ is the largest radius at which $T(r)$ attains its global minimum, we prove $T_{\\min}\\geq c(κ)M$ with $c(κ)=6\\sqrt{3}π(κ-1)\\sqrt{κ+2}/κ^{3/2}$. In summary, both bounds apply to the same geometric class and differ only in what they demand of the matter: non-negative energy density suffices for the upper bound, while the lower bound is established under the additional tangential pressure condition.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.40843",
  "author_total": 2,
  "authors": [
    {
      "name": "Yan Peng"
    },
    {
      "name": "Guohua Liu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2gntjd479medv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40843",
  "fulltext_url": null,
  "id": "2gntjd479medv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.40843",
  "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"
    ],
    [
      "arxiv",
      "hep-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.40843",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2gntjd479medv.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:15Z",
      "native_id": "2610.40843",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40843"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Bounds on the minimum orbital period of general static spherical black holes: a sharp upper bound and a conditional lower bound",
  "title_text": "Bounds on the minimum orbital period of general static spherical black holes: a sharp upper bound and a conditional lower bound",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:51Z",
  "url": "https://research.draconitic.com/paper/2gntjd479medv",
  "venue": "arXiv",
  "versions": []
}