{
  "abstract": "Semi-analytic 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": [],
  "article_type": "Journal reference: The Astrophysical Journal, 1011:248, 2026",
  "arxiv": "2607.16576",
  "author_total": 3,
  "authors": [
    {
      "name": "Alejandro Cárdenas-Avendaño"
    },
    {
      "name": "Diego Rubiera-Garcia"
    },
    {
      "name": "Frederic H. Vincent"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cnr2vmk10wnad.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.16576",
  "fulltext_url": null,
  "id": "cnr2vmk10wnad",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.16576",
  "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",
      "astro-ph.HE"
    ],
    [
      "arxiv",
      "astro-ph.IM"
    ],
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "openalex",
      "3103|Astrophysical Phenomena and Observations"
    ]
  ],
  "openalex": "W7169851386",
  "pdf_url": "https://arxiv.org/pdf/2607.16576",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cnr2vmk10wnad.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2607.16576",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.16576"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.HE",
      "subfield": "high-energy-astrophysics"
    },
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.IM",
      "subfield": "instrumentation-methods"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "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": "preprint",
  "updated_at": "2026-11-09T00:20:33Z",
  "url": "https://research.draconitic.com/paper/cnr2vmk10wnad",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.3847/1538-4357/aeacd3",
      "pid": "6evb88qhwqtrw",
      "relation": "published-as",
      "title": "A Four-dimensional Gaussian Random Field Generator for Modeling Spatiotemporal Variability in Astrophysical Sources",
      "venue": "The Astrophysical Journal"
    }
  ]
}