{
  "abstract": "A Hamiltonian analysis of $f(R)$ gravity in the perturbation field approximation is performed. The action principle is presented as a series expansion around a generic fixed background with constant scalar curvature $R_{0}$, then we restrict the theory to maximally symmetric spaces, later we recast the action by selecting $R_{0}=0$, i.e., by choosing Minkowski as the background. The Hamiltonian formulation is constructed by following the appropriate methods to approach higher-order systems. The constraint structure is identified for several cases that arise depending on imposed conditions on the values of the function $f(R)$ and its derivatives, classification of constraints allows to make a proper count of degrees of freedom for each case, at the end we confirm the spectrum behaviour of $f(R)$ gravity around Minkowski spacetime that has been reported by another means in the recent literature.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00413",
  "author_total": 1,
  "authors": [
    {
      "name": "Aldair Pantoja"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bktjvc57kw4qy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00413",
  "fulltext_url": null,
  "id": "bktjvc57kw4qy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00413",
  "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/2611.00413",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bktjvc57kw4qy.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.00413",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00413"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Strong-coupling of Minkowski spacetime in $f(R)$ gravity: a Hamiltonian perspective",
  "title_text": "Strong-coupling of Minkowski spacetime in f(R) gravity: a Hamiltonian perspective",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:18Z",
  "url": "https://research.draconitic.com/paper/bktjvc57kw4qy",
  "venue": "arXiv",
  "versions": []
}