{
  "abstract": "This paper investigates Yamabe-type soliton structures on the Sultana-Dyer (SD) black-hole spacetime. By employing the explicit metric and curvature quantities associated with the SD spacetime, we demonstrate that the non-Killing vector field $\\partial_t$ induces an $h$-almost Yamabe soliton for explicitly determined functions $h$ and $λ$. We also establish the condition under which this structure reduces to an almost Yamabe soliton and examine why the coordinate vector fields $\\partial_r$ and $\\partial_θ$ do not satisfy the corresponding Yamabe flow conditions. Furthermore, we show that the energy-momentum tensor, consisting of a timelike dust component and a null radiation fluid, is compatible with the Riemann, conformal (Weyl), concircular, conharmonic, and projective curvature structures. This compatibility reveals a strong geometric correspondence between the matter distribution and the causal structure of the spacetime. However, when the time-dependent scalar-curvature profile is subject to the constraints associated with late-stage cosmic expansion, the null, weak, and dominant energy conditions are violated. These findings provide a geometric characterization of the time-dependent Sultana-Dyer spacetime within the framework of generalized Yamabe solitons.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.12019",
  "author_total": 2,
  "authors": [
    {
      "name": "Absos Ali Shaikh"
    },
    {
      "name": "Kamiruzzaman"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/574r9rvkjb8rr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.12019",
  "fulltext_url": null,
  "id": "574r9rvkjb8rr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.12019",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "3103|Advanced Differential Geometry Research"
    ]
  ],
  "openalex": "W7213049832",
  "pdf_url": "https://arxiv.org/pdf/2609.12019",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/574r9rvkjb8rr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:07Z",
      "native_id": "2609.12019",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.12019"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Sultana--Dyer Black Hole Spacetime and $h$-Almost Yamabe Solitons",
  "title_text": "Sultana--Dyer Black Hole Spacetime and h-Almost Yamabe Solitons",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:11Z",
  "url": "https://research.draconitic.com/paper/574r9rvkjb8rr",
  "venue": "arXiv",
  "versions": []
}