{
  "abstract": "The so called Harada gravity with non conserved energy-momentum tensor is here taken into account. It includes Rastall gravity as a special case. The field equations are written as Einstein equations where the source is supplemented by a divergence-free conformal Killing tensor and a tensor proportional to the metric, linear in the scalar curvature and the trace of the energy-momentum tensor. These terms can be natural candidates for dark sector and give rise to a coupling of the dark sector with the matter content. The field equations are the conformal Killing extension of Rastall gravity, and include Unimodular gravity. In a Friedmann-Robertson-Walker background, the Cosmic Microwave Background restricts parameters so that the dark sector only couples with the trace of the energy-momentum tensor. The explicit form of the tensor for the dark sector is found, and the Friedmann and continuity equations are presented, with a standard cosmological analysis. The sum of energy-momentum tensors of dust matter and of dark fluid is conserved, and the dust energy density evolves with the scale function with exponent -3/(1+tau), modified by the coupling tau with the dark fluid.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.08213",
  "author_total": 3,
  "authors": [
    {
      "name": "Salvatore Capozziello"
    },
    {
      "name": "Carlo Alberto Mantica"
    },
    {
      "name": "Luca Guido Molinari"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3sjjsn8xw6x3s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.08213",
  "fulltext_url": null,
  "id": "3sjjsn8xw6x3s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.08213",
  "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/2606.08213",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3sjjsn8xw6x3s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:22Z",
      "native_id": "2606.08213",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.08213"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Non conservative conformal Killing gravity: coupling the dark sector with curvature and matter",
  "title_text": "Non conservative conformal Killing gravity: coupling the dark sector with curvature and matter",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:44Z",
  "url": "https://research.draconitic.com/paper/3sjjsn8xw6x3s",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/2tvj-7wfp",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}