{
  "abstract": "We calculate the static electric quadrupolar response of black holes in four-dimensional quadratic gravity, with action $R-αC^2+βR^2$. The Schwarzschild solution has zero massless gravitational Love number under the stated boundary conditions. A numerical non-Schwarzschild solution instead has a nonzero negative response. At $α/r_h^2=1/2$, we find $λ_E/r_h^5\\simeq-0.1224928$ and $k_2^{(r_h)}\\simeq-0.1837391$, with a final outer-endpoint change in $k_2^{(r_h)}$ of about $1.60\\times10^{-7}$. We explain how the background is obtained by shooting and how the tidal solution is selected by matching at an intermediate radius. The perturbations are written in Kodama--Ishibashi gauge-invariant variables. After the scalar-curvature perturbation is excluded by horizon regularity and the absence of an applied scalar tide, the remaining static sector has three coupled second-order radial equations. We define the curvature amplitudes in these equations and describe why simple attempts to separate them fail. The coupling scan shows a negative response approaching zero near the Schwarzschild intersection. We also explain why this full-theory result does not conflict with the removal of curvature-squared operators in a perturbative low-energy expansion.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.24625",
  "author_total": 1,
  "authors": [
    {
      "name": "Soham Bhattacharyya"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3vwz79bq92686.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.24625",
  "fulltext_url": null,
  "id": "3vwz79bq92686",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.24625",
  "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",
      "astro-ph.HE"
    ],
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7223055980",
  "pdf_url": "https://arxiv.org/pdf/2610.24625",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3vwz79bq92686.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.24625",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.24625"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.HE",
      "subfield": "high-energy-astrophysics"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Static tidal Love numbers of Schwarzschild and non-Schwarzschild black holes in quadratic gravity",
  "title_text": "Static tidal Love numbers of Schwarzschild and non-Schwarzschild black holes in quadratic gravity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/3vwz79bq92686",
  "venue": "arXiv",
  "versions": []
}