{
  "abstract": "A dark matter density profile alone does not determine the spacetime around a black hole; the radial stress must be prescribed separately and governs the strong-field orbital response. We study a Bardeen black hole in a Hernquist halo through three spherical models sharing the same density, mass function, and cutoff but differing in radial stress: a halo with $p_r^{\\mathrm{DM}}=-ρ_{\\mathrm{DM}}$, its truncated form, and a truncated Einstein cluster with $p_r^{\\mathrm{DM}}=0$. Treating the halo as a small perturbation, we derive a first-order criterion for the leading innermost stable circular orbit shift, $C_λ=C_ρ+λC_p$. The two truncated closures shift this orbit in opposite directions for the Hernquist profile, and unexpanded calculations for five density profiles confirm the predicted signs. Checks using a Hayward background and a published Dehnen-halo result show that the criterion is not restricted to the Bardeen-Hernquist system. A continuous stress interpolation identifies a critical closure at which the leading shift vanishes. For a representative four-year extreme-mass-ratio inspiral, changing the radial stress at fixed density and cutoff produces a phase difference of several radians in a leading-order adiabatic treatment.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.16685",
  "author_total": 3,
  "authors": [
    {
      "name": "Yang Deng"
    },
    {
      "name": "Jia-Zhou Liu"
    },
    {
      "name": "Wen-Di Guo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d2hmwz17fb27y.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.16685",
  "fulltext_url": null,
  "id": "d2hmwz17fb27y",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.16685",
  "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"
    ],
    [
      "openalex",
      "3103|Pulsars and Gravitational Waves Research"
    ]
  ],
  "openalex": "W7213414723",
  "pdf_url": "https://arxiv.org/pdf/2609.16685",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d2hmwz17fb27y.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:41Z",
      "native_id": "2609.16685",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.16685"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Radial Stress and the Innermost Stable Circular Orbit of a Bardeen Black Hole in a Dark Matter Halo: A First-Order Response Criterion",
  "title_text": "Radial Stress and the Innermost Stable Circular Orbit of a Bardeen Black Hole in a Dark Matter Halo: A First-Order Response Criterion",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:41Z",
  "url": "https://research.draconitic.com/paper/d2hmwz17fb27y",
  "venue": "arXiv",
  "versions": []
}