{
  "abstract": "We consider Myers--Perry spacetimes $(M,g_{\\mathbf{a},\\mathbf{b},\\mathfrak{m}})$ in $1+4$ dimensions with two spin parameters $(\\mathbf{a},\\mathbf{b})\\in\\mathbb{R}^2$, which are a direct generalization of the well known Kerr spacetime in $1+3$ dimensions. We prove that the Hamiltonian flow associated to $g_{\\mathbf{a},\\mathbf{b},\\mathfrak{m}}^{-1}$ is normally hyperbolically trapped for the full subextremal range \\[ (|\\mathbf{a}|+|\\mathbf{b}|)^2<2\\mathfrak{m}. \\] As an application, we prove a Price law with explicit leading order terms for solutions $ϕ(t,x)$ of the scalar wave equation \\[ \\Box_{g_{\\mathbf{a},\\mathbf{b},\\mathfrak{m}}}ϕ=0 \\] under the assumption of real mode stability. Our precise asymptotics imply that $ϕ(t,x)=ct^{-3}+\\mathcal{O}(t^{-4+})$, where $c\\in\\mathbb{C}$ is an explicitly computable constant.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33812",
  "author_total": 1,
  "authors": [
    {
      "name": "Pieter-Bart Peters"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/01ntw9hmk7jx2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33812",
  "fulltext_url": null,
  "id": "01ntw9hmk7jx2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33812",
  "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",
      "gr-qc"
    ],
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7223950533",
  "pdf_url": "https://arxiv.org/pdf/2610.33812",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/01ntw9hmk7jx2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.33812",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33812"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Price's law for scalar waves on 1+4 dimensional subextremal Myers-Perry spacetimes",
  "title_text": "Price's law for scalar waves on 1+4 dimensional subextremal Myers-Perry spacetimes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/01ntw9hmk7jx2",
  "venue": "arXiv",
  "versions": []
}