{
  "abstract": "Black-hole interiors with an inner (Cauchy) horizon are unstable through the Poisson-Israel-Ori mass-inflation mechanism, governed by the Dray-'t Hooft-Redmount relation and widely regarded as a dynamical realization of strong cosmic censorship. We show that static, spherically symmetric anisotropic interiors supported by a marginally divergent but integrable density $ρ\\sim A/r^2$, with $A>1/(8π)$ and mild screening at finite radius, are incompatible with this mechanism. The compactness $q=m/r$ decreases monotonically from a super-critical central value to $1/2$ at the unique event horizon, producing a strictly positive compactness gap throughout the trapped region and excluding any second zero of the lapse. This gap enters the dynamics quantitatively. (i) Under the null energy condition and a dynamical screening condition, $2m/r$ is non-decreasing along both future null directions of a trapped domain, so the gap propagates under nonlinear spherically symmetric evolution. (ii) For ingoing radiation (generalized Vaidya), the gap bounds the blueshift: the advanced time spent in the gapped region is finite, whereas it diverges at a Cauchy horizon. (iii) For counter-streaming null dust, the radiative part $μ$ of the Misner-Sharp mass obeys exactly $\\partial_u\\partial_vμ=2\\,\\partial_uμ\\,\\partial_vμ/(r|f|)$, of which the DTR relation is the thin-shell form; the in-out coupling $2/(r|f|)$ is uniformly bounded on the interior precisely when the gap is positive. This yields an a priori mass bound and, in the Ori thin-shell model, an e-folding rate bounded by the influx luminosity instead of tending to the inner-horizon surface gravity. Integrable-singularity interiors thus realize a class of sources for which the Poisson-Israel-Ori amplification channel is structurally inoperative in the models in which mass inflation was originally established.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38826",
  "author_total": 1,
  "authors": [
    {
      "name": "Francisco Tello-Ortiz"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4hg65d4p3v9xz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38826",
  "fulltext_url": null,
  "id": "4hg65d4p3v9xz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38826",
  "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"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.38826",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4hg65d4p3v9xz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:23Z",
      "native_id": "2610.38826",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38826"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Integrable singularities obstruct Cauchy horizons and mass inflation",
  "title_text": "Integrable singularities obstruct Cauchy horizons and mass inflation",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:45Z",
  "url": "https://research.draconitic.com/paper/4hg65d4p3v9xz",
  "venue": "arXiv",
  "versions": []
}