{
  "abstract": "We prove that (n + 1)-dimensional de Sitter spacetime is locally the unique $(Λ> 0)$-vacuum spacetime whose Killing horizons intersect the conformal boundary $\\mathscr{I}$. The intersection occurs at the isolated essential zeros of the extension of the Killing vector field to $\\mathscr{I}$. We then reconstruct all de Sitter Killing vector fields from their boundary value and obtain a characterization of those admitting a Killing horizon in terms of a conformal invariant $σ$: $σ<0$ characterizes non-degenerate bifurcate horizons, whereas $σ= 0$ yields degenerate non-bifurcate horizons. Finally, we derive an intrinsic, conformally invariant formula for the surface gravity of the horizons in de Sitter, $κ^2 = |σ|$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.37427",
  "author_total": 1,
  "authors": [
    {
      "name": "Carlos Peón-Nieto"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/776c7sx8ysjba.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.37427",
  "fulltext_url": null,
  "id": "776c7sx8ysjba",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.37427",
  "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",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.37427",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/776c7sx8ysjba.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:31Z",
      "native_id": "2609.37427",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.37427"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Asymptotics of Killing horizons: A Characterization in de Sitter Spacetime",
  "title_text": "Asymptotics of Killing horizons: A Characterization in de Sitter Spacetime",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:35Z",
  "url": "https://research.draconitic.com/paper/776c7sx8ysjba",
  "venue": "arXiv",
  "versions": []
}