{
  "abstract": "Gravitational perturbations of rotating black holes in higher dimensions generally obey coupled partial differential equations. We show that scalar gravitational perturbations invariant under rotations of the transverse sphere of a singly spinning Myers-Perry black hole separate, despite the obstruction to a decoupled Teukolsky equation. Two commuting, second-order angular operators organise the three gauge-invariant curvature components into joint eigenfunctions. The physical radial problem is a $2\\times2$ first-order system, equivalent to a single second-order equation. This gives a separation of the sector containing both the bar-mode and axisymmetric ultraspinning instabilities. Using only ordinary differential equations, we compute the bar-mode quasinormal spectrum in $d=5,6,7$ and find instability onsets at $a/r_+=0.90498$ and $0.83228$ in $d=6,7$. We also compute the growing axisymmetric modes and their onset rotations in $d=6,\\ldots,9$. The construction shows how separability can survive the coupling between gravitational polarisations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18956",
  "author_total": 1,
  "authors": [
    {
      "name": "Jorge E. Santos"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7mqwxk9335jgg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18956",
  "fulltext_url": null,
  "id": "7mqwxk9335jgg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.18956",
  "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",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7222177540",
  "pdf_url": "https://arxiv.org/pdf/2610.18956",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7mqwxk9335jgg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2610.18956",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18956"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Separation of gravitational perturbations of singly spinning Myers-Perry black holes",
  "title_text": "Separation of gravitational perturbations of singly spinning Myers-Perry black holes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:31Z",
  "url": "https://research.draconitic.com/paper/7mqwxk9335jgg",
  "venue": "arXiv",
  "versions": []
}