{
  "abstract": "Hyperbolically symmetric wormholes provide a setting in which negative energy densities arise from the throat geometry and finite matter configurations can be matched to the hyperbolic Schwarzschild vacuum. We construct such configurations from a matter-first perspective using an effective Casimir source corrected by a gravitational-memory contribution, $ρ(r)=-α/r^4+η/r^7$. The $r^{-7}$ term is motivated by the persistent shift of the Casimir vacuum energy after a transient gravitational perturbation, while its promotion to a radial source is treated phenomenologically. The density determines the shape function, and the temporal geometry is fixed through complexity-based conditions. Full vanishing complexity, $Y_{TF}=0$, is first imposed and then relaxed through a one-parameter deformation, $Y_{TF}=(p-3)r_0/(2r^3)$. Decomposing the complexity factor into local and throat contributions shows that local vanishing complexity occurs at $p=β'(r_0)$. At this value, besides the constant-redshift solution of the finite-$r$-derivative branch, a second lapse branch is regular in radial distance. We show that pressure-free Darmois matching in the finite-$r$-derivative family requires $p<β'(r_0)$, enforcing tangential null and strong-energy-condition violations at the throat throughout the matching domain. The density remains negative in the matter-supported region, implying weak- and dominant-energy-condition violations independently of the lapse branch. The memory parameter modifies the flare-out domain, redshift profile, and matching data, while finite pressure-free junctions permit smooth matching to the hyperbolic Schwarzschild vacuum without thin shells. The construction combines a memory-corrected Casimir source with a unified complexity framework in which the temporal sectors emerge as related branches of the same radial geometry.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.17597",
  "author_total": 5,
  "authors": [
    {
      "name": "Celio R. Muniz"
    },
    {
      "name": "Roberto Avalos"
    },
    {
      "name": "Jonathan A. Rebouças"
    },
    {
      "name": "Francisco Bento Lustosa"
    },
    {
      "name": "Francisco Tiago Barboza Sampaio"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/41y744bfh0x1k.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.17597",
  "fulltext_url": null,
  "id": "41y744bfh0x1k",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.17597",
  "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"
    ],
    [
      "openalex",
      "3103|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7213526828",
  "pdf_url": "https://arxiv.org/pdf/2609.17597",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/41y744bfh0x1k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:01Z",
      "native_id": "2609.17597",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.17597"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Traversable Hyperbolic Wormholes with a Casimir-Memory Source: Complexity and Shell-Free Matching",
  "title_text": "Traversable Hyperbolic Wormholes with a Casimir-Memory Source: Complexity and Shell-Free Matching",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:01Z",
  "url": "https://research.draconitic.com/paper/41y744bfh0x1k",
  "venue": "arXiv",
  "versions": []
}