Skip to content
DraconiticResearch
Search Sources API
197,768 studies31 sourcesUpdated 33 min ago
PreprintCC BY-SA 4.0arXiv

Traversable Hyperbolic Wormholes with a Casimir-Memory Source: Complexity and Shell-Free Matching

  • Celio R. Muniz
  • Roberto Avalos
  • Jonathan A. Rebouças
  • Francisco Bento Lustosa
  • Francisco Tiago Barboza Sampaio
Open at sourcePDFDOICite

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/r4+η/r7. 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, YTF=0, is first imposed and then relaxed through a one-parameter deformation, YTF=(p−3)r0/(2r3). Decomposing the complexity factor into local and throat contributions shows that local vanishing complexity occurs at p=β'(r0). 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'(r0), 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.

Related

  1. Traversable Casimir Wormholes with Gravitational Memory
    Jonathan A. Rebouças, Francisco Bento Lustosa, Celio R. Muniz
    Nuclear Physics BPeer-reviewedCC BY 4.0Full textAtomic, molecular & optical physicsCrossref
  2. Higher-order generalized uncertainty principle corrections to Casimir-supported traversable wormholes
    Jureeporn Yuennan, Allah Ditta, Thammarong Eadkhong +2
    arXivPreprintCC BY 4.0Full textGravitation & general relativityHigh-energy & particle physicsarXiv
  3. Traversable Casimir Wormholes with Gravitational Memory
    Jonathan A. Rebouças, Francisco Bento Lustosa, Celio R. Muniz
    arXivPreprintCC BY 4.0Full textGravitation & general relativityarXiv
  4. Black bounces to traversable wormholes from pure gravity in four and higher dimensions
    Jacopo Mazza
    HALPreprintLicence not statedGravitation & general relativityHAL
  5. Global Integrated Null Energy Contribution : Classification of Traversable Wormholes
    Soumya Chakrabarti
    arXivPreprintarXiv licenceFull textMathematical physicsGravitation & general relativityarXiv

Cite

BibTeXRIS
BibTeX
@misc{muniz2026traversable,
  title = {{Traversable Hyperbolic Wormholes with a Casimir-Memory Source: Complexity and Shell-Free Matching}},
  author = {Celio R. Muniz and Roberto Avalos and Jonathan A. Rebouças and Francisco Bento Lustosa and Francisco Tiago Barboza Sampaio},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.17597},
  eprint = {2609.17597},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.17597},
  note = {CC BY-SA 4.0},
}
RIS
TY  - UNPB
TI  - Traversable Hyperbolic Wormholes with a Casimir-Memory Source: Complexity and Shell-Free Matching
AU  - Celio R. Muniz
AU  - Roberto Avalos
AU  - Jonathan A. Rebouças
AU  - Francisco Bento Lustosa
AU  - Francisco Tiago Barboza Sampaio
PY  - 2026
DA  - 2026/09/12
PB  - arXiv
DO  - 10.48550/arxiv.2609.17597
UR  - https://arxiv.org/abs/2609.17597
AB  - 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.
ER  -