{
  "abstract": "In this work, we construct models compatible with ACT constraints on inflation in the framework of $f\\left(Q, \\tilde R\\right)$ gravity, with $f(R)$ gravity coupled to a scalar field. The $f\\left(Q, \\tilde R\\right)$ theory is equivalent to $f(Q, B)$ gravity models or $f(Q, C)$ gravity where $B$ or $C$ is the difference between $Q$ and the scalar curvature $\\tilde R$ in Einstein's gravity, so, $B=Q-\\tilde R$ or $C=\\tilde R - Q$. Using appropriate reconstruction techniques compatible with $f\\left(Q, \\tilde R\\right)$ theory, we propose two functional behaviors of the Hubble rate $H$ that satisfy the constraints, and we construct models that realize these behaviors of the Hubble rate $H$ using $f\\left(Q, \\tilde R\\right)$ gravity and $f(R)$ gravity coupled with a scalar field. We also discuss the reheating stage after inflation. Although the scenario of $f(R)$ gravity coupled with a scalar field is well-known, since the model can be rewritten in the form of Einstein's gravity coupled with two scalar fields, the non-trivial problem occurs in the $f\\left(Q, \\tilde R\\right)$ gravity case, because the number of dynamical degrees of freedom in $f(Q)$ gravity is not settled.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.23511",
  "author_total": 3,
  "authors": [
    {
      "name": "Shin'ichi Nojiri"
    },
    {
      "name": "S. D. Odintsov"
    },
    {
      "name": "V. K. Oikonomou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/67kkamghsbq8j.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.23511",
  "fulltext_url": null,
  "id": "67kkamghsbq8j",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.23511",
  "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",
      "astro-ph.CO"
    ],
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3103|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7213999284",
  "pdf_url": "https://arxiv.org/pdf/2609.23511",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/67kkamghsbq8j.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2609.23511",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.23511"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.CO",
      "subfield": "cosmology"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "ACT-compatible Inflation in Scalar Field Coupled $f\\left(Q, \\tilde R\\right)$ Gravity",
  "title_text": "ACT-compatible Inflation in Scalar Field Coupled f(Q, R̃) Gravity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:19Z",
  "url": "https://research.draconitic.com/paper/67kkamghsbq8j",
  "venue": "arXiv",
  "versions": []
}