{
  "abstract": "We give a dynamical characterization of the Chandrasekhar mass for cold white dwarfs governed by the radial Euler--Poisson equations with the exact Chandrasekhar equation of state. This mass is the infimum of masses for which a finite-energy classical solution with a physical vacuum can contract its entire support to a point in finite time. Below it, conservation of energy prevents complete collapse. For every mass in a sufficiently small interval above it, we construct a solution whose support shrinks to the origin and whose density concentrates there with the full mass of the star. The interior approaches a collapsing Goldreich--Weber profile. Near the vacuum boundary, a different rescaling gives a limiting profile that connects the high- and low-density regimes of the pressure law. We determine this profile and show that, after adding the electron rest energy, the conserved energy equals that of the Goldreich--Weber reference solution. The proof combines matched asymptotic expansions with local existence and energy estimates that extend solutions backward from times approaching collapse to a common earlier time.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.34075",
  "author_total": 2,
  "authors": [
    {
      "name": "Gong Chen"
    },
    {
      "name": "Zhiwu Lin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cxmg49jp11703.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.34075",
  "fulltext_url": null,
  "id": "cxmg49jp11703",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.34075",
  "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",
      "math-ph"
    ],
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "2610|Advanced Mathematical Physics Problems"
    ]
  ],
  "openalex": "W7214724829",
  "pdf_url": "https://arxiv.org/pdf/2609.34075",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cxmg49jp11703.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2609.34075",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.34075"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Collapse of white dwarfs above the Chandrasekhar mass",
  "title_text": "Collapse of white dwarfs above the Chandrasekhar mass",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/cxmg49jp11703",
  "venue": "arXiv",
  "versions": []
}