{
  "abstract": "In this work we explores the dynamic solutions of a brane system in a five dimensional space-time under the Hamiltonian perspective, using the De Donner Weyl formalism. We obtain the dynamic equations for the scale factors, and obtain the Friedmann-like equations in general way. We present the solutions of the scale factors as a function of the extra coordinate, $y$, we show that the geometry is related to the matter-energy component in the brane. Finally, we develop the ADM formalism in the brane point of view with the foliation of the 3-dimensional space which is embedded in a 5-dimensional manifold.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.00556",
  "author_total": 2,
  "authors": [
    {
      "name": "José Socorro García"
    },
    {
      "name": "Juan Luis Pérez"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8jsj4qv7qvfsv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.00556",
  "fulltext_url": null,
  "id": "8jsj4qv7qvfsv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.00556",
  "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",
      "hep-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.00556",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8jsj4qv7qvfsv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:03Z",
      "native_id": "2610.00556",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.00556"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Hamiltonian formalism for a 5-D brane cosmolgy",
  "title_text": "Hamiltonian formalism for a 5-D brane cosmolgy",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:03Z",
  "url": "https://research.draconitic.com/paper/8jsj4qv7qvfsv",
  "venue": "arXiv",
  "versions": []
}