{
  "abstract": "We study scalar-induced gravitational waves (SIGWs) in a spatially covariant gravity model with two tensorial degrees of freedom, minimally coupled to a $k$-essence scalar field. For the parameter choice considered during radiation domination, the quadratic tensor action coincides with that of general relativity (GR). We derive the scalar transfer functions at finite $σ\\equiv C_2\\bar N$ and in the large-$|σ|$ limit. We then construct the source function of SIGWs. We further examine a cubic extrinsic-curvature interaction that modifies the source function of SIGWs without affecting the background or quadratic actions. We calculate the fractional energy density of SIGWs for monochromatic and log-normal primordial curvature power spectra. We find that, for the positive values of $σ$ studied, finite-$σ$ effects suppress the spectrum over a broad range of scales relative to the result in the $σ\\rightarrow \\infty$ limit. In this limit, the cubic interaction suppresses the spectrum at small wavenumbers and enhances it at larger wavenumbers. These results show that modified scalar dynamics and non-linear interactions can alter the fractional energy density of SIGWs even when the quadratic tensor action is identical to that of GR.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.39252",
  "author_total": 5,
  "authors": [
    {
      "name": "Jia-Xi Feng"
    },
    {
      "name": "Yang Yu"
    },
    {
      "name": "Yan-Heng Yu"
    },
    {
      "name": "Xian Gao"
    },
    {
      "name": "Qing-Guo Huang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3hkwm1jy3tjpd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.39252",
  "fulltext_url": null,
  "id": "3hkwm1jy3tjpd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.39252",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2610.39252",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3hkwm1jy3tjpd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:23Z",
      "native_id": "2610.39252",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.39252"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Scalar-induced gravitational waves in spatially covariant gravity with two tensorial degrees of freedom",
  "title_text": "Scalar-induced gravitational waves in spatially covariant gravity with two tensorial degrees of freedom",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:45Z",
  "url": "https://research.draconitic.com/paper/3hkwm1jy3tjpd",
  "venue": "arXiv",
  "versions": []
}