{
  "abstract": "The Teukolsky Master Equation (TME) is a powerful technique used to study perturbations of a spacetime with gravitational, electromagnetic, and neutrino components. The well-known Kerr metric is a suitable candidate for this formalism because it is a Petrov type D metric. However, the Kerr metric represents the exterior spacetime of a perfect sphere and only black holes are described using this metric. For another astrophysical object, such as fast-spinning neutron stars, the Kerr metric is not valid due to the rotation induced deformations to the gravitational source. The main goal of the present work is to show a TME for a Kerr-like metric (KL) with a mass quadrupole moment parameter $q$. This new parameter will represent deformations from a perfect sphere; therefore, KL is a better candidate to study perturbations surrounding spinning stars.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.30990",
  "author_total": 4,
  "authors": [
    {
      "name": "Pedro Gómez"
    },
    {
      "name": "Adrián Eduarte-Rojas"
    },
    {
      "name": "Francisco Frutos-Alfaro"
    },
    {
      "name": "Antonio Banichevich"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1n6888p2nmmgf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.30990",
  "fulltext_url": null,
  "id": "1n6888p2nmmgf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.30990",
  "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-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7214608329",
  "pdf_url": "https://arxiv.org/pdf/2609.30990",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1n6888p2nmmgf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:52Z",
      "native_id": "2609.30990",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.30990"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Teukolsky Master Equation for a Kerr-like metric with Mass Quadrupole Moment",
  "title_text": "Teukolsky Master Equation for a Kerr-like metric with Mass Quadrupole Moment",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:57Z",
  "url": "https://research.draconitic.com/paper/1n6888p2nmmgf",
  "venue": "arXiv",
  "versions": []
}