{
  "abstract": "Semianalytic models of black hole movies require both an emitting flow prescription and a time-dependent source variability. Existing prescriptions are often limited to either equatorial emission or time-independent sources. In this work we present a unified model for these two ingredients. First, we prescribe an off-equatorial, nongeodesic Kerr fluid rotation law by lifting an equatorial specific-angular-momentum profile to cylindrical surfaces, setting the polar component of the four-velocity to zero, normalizing the flow with the full Kerr metric at the spacetime point, and retaining the option to recover a geodesic-like plunging prescription when needed. Second, we use this velocity as the disk advection field in a four-dimensional inhomogeneous, anisotropic Matérn-like Gaussian random field. We provide a parametrized model for a torus-like disk and a central jet through a single composite correlation tensor. The resulting effective model is an implementation-ready prescription for time-dependent thick-disk and disk–jet emission for relativistic studies.",
  "abstract_shown": true,
  "affiliations": [
    "Wake Forest University",
    "Universidad Complutense de Madrid",
    "Sorbonne Université"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Alejandro Cárdenas-Avendaño",
      "orcid": "0000-0001-9528-1826"
    },
    {
      "affs": [
        1
      ],
      "name": "Diego Rubiera-Garcia",
      "orcid": "0000-0003-3984-9864"
    },
    {
      "affs": [
        2
      ],
      "name": "Frederic H. Vincent",
      "orcid": "0000-0002-9214-0830"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6evb88qhwqtrw.bib",
  "cited_by": 0,
  "doi": "10.3847/1538-4357/aeacd3",
  "fulltext_url": null,
  "id": "6evb88qhwqtrw",
  "issns": [
    "1538-4357",
    "0004-637X"
  ],
  "landing_url": "https://iopscience.iop.org/article/10.3847/1538-4357/aeacd3",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "feed-journal",
      "astronomy/general"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://iopscience.iop.org/article/10.3847/1538-4357/aeacd3/pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": "American Astronomical Society",
  "ris": "https://research.draconitic.com/paper/6evb88qhwqtrw.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T12:20:12Z",
      "native_id": "10.3847/1538-4357/aeacd3",
      "source": "feed-iop",
      "url": "https://iopscience.iop.org/article/10.3847/1538-4357/aeacd3"
    },
    {
      "first_seen": "2026-11-05T12:20:35Z",
      "native_id": "10.3847/1538-4357/aeacd3",
      "source": "crossref",
      "url": "https://iopscience.iop.org/article/10.3847/1538-4357/aeacd3"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "journal-openalex:3103|Stellar, planetary, and galactic studies",
      "subfield": "stellar"
    }
  ],
  "title": "A Four-dimensional Gaussian Random Field Generator for Modeling Spatiotemporal Variability in Astrophysical Sources",
  "title_text": "A Four-dimensional Gaussian Random Field Generator for Modeling Spatiotemporal Variability in Astrophysical Sources",
  "type": "peer-reviewed",
  "updated_at": "2026-11-07T00:20:58Z",
  "url": "https://research.draconitic.com/paper/6evb88qhwqtrw",
  "venue": "The Astrophysical Journal",
  "versions": [
    {
      "doi": "10.48550/arxiv.2607.16576",
      "pid": "cnr2vmk10wnad",
      "relation": "preprint",
      "title": "A Four-Dimensional Gaussian Random Field Generator for Modeling Spatiotemporal Variability in Astrophysical Sources",
      "venue": "arXiv"
    }
  ]
}