{
  "abstract": "Static spherically symmetric asymptotically flat configurations in General Relativity with a minimally coupled scalar field typically possess naked singularities. We study a linear stability of these configurations against radial (monopole) perturbations in case of power-law scalar field potentials. We employ a new shooting method that extracts the eigenvalues corresponding to the exponentially growing modes of the perturbation. The problem is reduced to one second order ``master'' equation in a divergent form with a regularized effective potential. We confirm our previous results showing that instability modes exist for sufficiently small scalar charges of the initial static configurations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.04360",
  "author_total": 3,
  "authors": [
    {
      "name": "Anatolii Tugay"
    },
    {
      "name": "Valery Zhdanov"
    },
    {
      "name": "Yurii Taistra"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4vrwg0pgsfvs1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.04360",
  "fulltext_url": null,
  "id": "4vrwg0pgsfvs1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.04360",
  "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"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7220699689",
  "pdf_url": "https://arxiv.org/pdf/2610.04360",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4vrwg0pgsfvs1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.04360",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.04360"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "On the stability of spherically symmetric relativistic configurations with scalar field",
  "title_text": "On the stability of spherically symmetric relativistic configurations with scalar field",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/4vrwg0pgsfvs1",
  "venue": "arXiv",
  "versions": []
}