{
  "abstract": "We prove a splitting theorem for cosmological spacetimes which admit a globally $p$-harmonic Cauchy temporal function for some $p < 1$, without making any use of timelike lines. In Bartnik's context of cosmological and timelike geodesically complete spacetimes, we establish a Liouville-type unboundedness result which shows that globally $p$-harmonic temporal functions, $p < 1$, are necessarily Cauchy temporal. Moreover, using the theory of elliptic PDEs, we show that locally Lipschitz $p$-harmonic temporal functions with $p < 1$ are in fact smooth. Altogether, our work reduces the resolution of Bartnik's cosmological splitting conjecture to the global weak solvability of the $p$-d'Alembert equation for some $p < 1$ in the class of locally Lipschitz temporal functions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.01456",
  "author_total": 1,
  "authors": [
    {
      "name": "Argam Ohanyan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/94x4y6g3nrqda.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01456",
  "fulltext_url": null,
  "id": "94x4y6g3nrqda",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01456",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.DG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.01456",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/94x4y6g3nrqda.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.01456",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01456"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Cosmological rigidity via $p$-harmonic temporal functions",
  "title_text": "Cosmological rigidity via p-harmonic temporal functions",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/94x4y6g3nrqda",
  "venue": "arXiv",
  "versions": []
}