{
  "abstract": "Spacetime can undergo complex nonlinear evolution, as governed by the Einstein field equations, and a central challenge is to understand the geometric structures that arise, persist, and interact throughout its evolution. Using a formulation of Einstein equations that parallels nonlinear electrodynamics of continuous media, we show that general relativity admits gravitational field connections---two-surfaces and associated field lines whose connectivity is maintained by the spacetime dynamics. This gravitational frozen-in behavior is enabled by an ideal Ohm-type condition for the gravitational field. We further show that the same framework naturally leads to a conserved ``gravitational magnetic'' flux. A conserved gravitational helicity also emerges, with a clear topological interpretation in terms of gravitational field-line structures. These results identify well-defined topological constraints on admissible spacetime evolution and provide an organizing principle underlying the nonlinear dynamics of spacetime.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Phys. Rev. Lett. 136, 161401 (2026)",
  "arxiv": "2609.25240",
  "author_total": 3,
  "authors": [
    {
      "name": "Felipe A. Asenjo"
    },
    {
      "name": "Maricarmen A. Winkler"
    },
    {
      "name": "Luca Comisso"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/81d85c63rk65x.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25240",
  "fulltext_url": null,
  "id": "81d85c63rk65x",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25240",
  "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",
      "astro-ph.HE"
    ],
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "physics.plasm-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.25240",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/81d85c63rk65x.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:56Z",
      "native_id": "2609.25240",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25240"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.HE",
      "subfield": "high-energy-astrophysics"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.plasm-ph",
      "subfield": "plasma"
    }
  ],
  "title": "Frozen-In Gravitational Fields",
  "title_text": "Frozen-In Gravitational Fields",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:56Z",
  "url": "https://research.draconitic.com/paper/81d85c63rk65x",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/6c4q-kx6f",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}