{
  "abstract": "We prove that plane waves are the only gravitational pp-wave spacetimes which are distinguishing; in particular, they are the only strongly causal ones. This is used to prove a null version of Anderson's rigidity theorem, conjectured by Costa e Silva and Flores: every geodesically complete, transversally complete, strongly causal, Ricci-flat Brinkmann spacetime of dimension $4$ is isometric to a quotient of a plane wave spacetime.",
  "abstract_shown": true,
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  "article_type": null,
  "arxiv": "2610.03749",
  "author_total": 1,
  "authors": [
    {
      "name": "Hannah Cairo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3ygabhx2gnj6f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.03749",
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  "id": "3ygabhx2gnj6f",
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  "landing_url": "https://arxiv.org/abs/2610.03749",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
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      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "3103|Relativity and Gravitational Theory"
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  "openalex": "W7220709260",
  "pdf_url": "https://arxiv.org/pdf/2610.03749",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3ygabhx2gnj6f.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.03749",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.03749"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
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    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "On the causality of gravitational pp-wave spacetimes: A null version of Anderson's rigidity theorem",
  "title_text": "On the causality of gravitational pp-wave spacetimes: A null version of Anderson's rigidity theorem",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/3ygabhx2gnj6f",
  "venue": "arXiv",
  "versions": []
}