{
  "abstract": "In general relativity, exact Liouvillian solutions for a static and spherically symmetric spacetime with a perfect fluid and the equation of state $p(r)=wρ(r)$ are known only for $w=0,-\\frac{1}{6}, -\\frac{1}{5}, -\\frac{1}{3}$, and $-1$. We extend this setup to Rastall theory, presenting the relation between the Rastall parameter and the constant $w$, and deriving exact solutions that correspond to their known counterparts in general relativity, except for $w=-\\frac{1}{6}$. Furthermore, we find that, when $w\\neq \\frac{1}{3}, -1$, there exist several types of solutions whose behaviors change depending on the choice of constants.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.26463",
  "author_total": 3,
  "authors": [
    {
      "name": "Yoshimune Tomikawa"
    },
    {
      "name": "Ichika Obara"
    },
    {
      "name": "Takumi Orimo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/761knvbqttrm5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.26463",
  "fulltext_url": null,
  "id": "761knvbqttrm5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.26463",
  "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",
      "3103|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7171871433",
  "pdf_url": "https://arxiv.org/pdf/2607.26463",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/761knvbqttrm5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2607.26463",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.26463"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Exact solutions for static spherically symmetric spacetime with a perfect fluid in Rastall theory",
  "title_text": "Exact solutions for static spherically symmetric spacetime with a perfect fluid in Rastall theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/761knvbqttrm5",
  "venue": "arXiv",
  "versions": []
}