{
  "abstract": "We study the spherical collapse of a homogeneous dust cloud on a three-brane in the Shtanov--Sahni braneworld, in which the extra dimension is timelike. In the high-energy regime the brane Friedmann equation acquires a negative quadratic term in the matter density, controlled by a critical density $\\rhoc=2λ$, where $λ$ is the magnitude of the negative brane tension. For a spatially closed interior we integrate the dynamics exactly. Every turning point of the scale factor lies above $\\astar=\\sqrt{3/4πλ}$, a bounce exists if and only if a simple condition on the comoving density holds, and all curvature invariants stay below bounds fixed by $λ$ alone along the entire cycle. Comoving worldlines are geodesically complete. We then match the cloud across a comoving boundary to a spherically symmetric exterior with a trace-free effective source and solve the Israel conditions in closed form. The exterior is a charged Vaidya geometry whose mass function and tidal charge are fixed by the boundary radius. The tidal charge is positive, opposite in sign to the Randall--Sundrum case, and the exterior cannot be static. A trapped region forms on the boundary if and only if the mass exceeds $2/(3\\sqrt{πλ})$, and in that case the bounce still takes place in an untrapped neighbourhood of the boundary. For trapped clouds we construct an exterior over the full contraction, bounce and re-expansion by joining an advanced and a retarded charged Vaidya patch through a static wedge. The matched metric is of class $C^{1,1}$, the effective energy conditions hold, and the cloud re-emerges through a white hole region into a second asymptotic region. In the general relativistic limit $λ\\to\\infty$ the Oppenheimer--Snyder solution is recovered.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.04353",
  "author_total": 2,
  "authors": [
    {
      "name": "Rikpratik Sengupta"
    },
    {
      "name": "Chiranjeeb Singha"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3t4n8yxjkbr1c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.04353",
  "fulltext_url": null,
  "id": "3t4n8yxjkbr1c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.04353",
  "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",
      "3103|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7220740805",
  "pdf_url": "https://arxiv.org/pdf/2610.04353",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3t4n8yxjkbr1c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.04353",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.04353"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Bouncing Dust Collapse and Black-to-White Hole Transition on the Brane",
  "title_text": "Bouncing Dust Collapse and Black-to-White Hole Transition on the Brane",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/3t4n8yxjkbr1c",
  "venue": "arXiv",
  "versions": []
}