{
  "abstract": "Motivated by the strong cosmic censorship conjecture in general relativity, we prove the inextendibility of spherically symmetric weak null singularities as spherically symmetric Lorentzian manifolds with a continuous metric and Christoffel symbols in $L^{s}_{\\text{loc}}$ for $s>1$. The result assumes a suitable blow-up condition on the derivative of the area-radius function transverse to the weak null singularity in combination with a rigidity result on continuous spherically symmetric extensions across null boundaries proven in [1]. In particular we show that these assumptions are satisfied by the Reissner-Nordström-Vaidya spacetime as well as by a class of spacetimes arising from small and generic spherically symmetric perturbations of subextremal Reissner-Nordström under the Einstein-Maxwell-scalar field system.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.05167",
  "author_total": 2,
  "authors": [
    {
      "name": "Peter Cameron"
    },
    {
      "name": "Jan Sbierski"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2bdj905rasnjb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.05167",
  "fulltext_url": null,
  "id": "2bdj905rasnjb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.05167",
  "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.DG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.05167",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2bdj905rasnjb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:14Z",
      "native_id": "2609.05167",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.05167"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Spherically symmetric inextendibility of weak null singularities with Christoffel symbols in $L^s_{\\text{loc}}$",
  "title_text": "Spherically symmetric inextendibility of weak null singularities with Christoffel symbols in L^s_loc",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:18Z",
  "url": "https://research.draconitic.com/paper/2bdj905rasnjb",
  "venue": "arXiv",
  "versions": []
}