{
  "abstract": "We study FLRW-compatible tensor fields on Friedmann--Lemaître--Robertson--Walker spacetimes in $(D+1)$ dimensions equipped with Levi-Civita connection. We prove that any covariant rank-$N$ tensor field invariant under the spatial homogeneity and isotropy group, with $D>N$, admits a finite decomposition into monomials constructed from the metric tensor $g_{μν}$ and the unit timelike vector $u_μ$, with scalar coefficients depending only on cosmic time. As a direct consequence, any rank-two correction term appearing in an Einstein-like rearrangement of the FLRW background field equations has the effective perfect-fluid form for $D>2$. Thus, the result provides an arbitrary-rank tensorial classification underlying the perfect-fluid structure of modified gravity equations on FLRW backgrounds, complementing existing rank-two universality results. Applications to generalized Friedmann equations and to the geodesic deviation equation in modified gravity are also discussed.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Eur. Phys. J. Plus 141, 1204 (2026)",
  "arxiv": "2610.11626",
  "author_total": 2,
  "authors": [
    {
      "name": "Cem Dalkırmaz"
    },
    {
      "name": "Yaghoub Heydarzade"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7ngq0xhmxz84c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.11626",
  "fulltext_url": null,
  "id": "7ngq0xhmxz84c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.11626",
  "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",
      "gr-qc"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.11626",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7ngq0xhmxz84c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2610.11626",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.11626"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "FLRW-Compatible Tensors and Perfect-Fluid Universality in Modified Gravity",
  "title_text": "FLRW-Compatible Tensors and Perfect-Fluid Universality in Modified Gravity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:34Z",
  "url": "https://research.draconitic.com/paper/7ngq0xhmxz84c",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1140/epjp/s13360-026-08421-x",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}