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PreprintarXiv licencearXiv

Extending the model of rotating acoustic geometries to include nonvanishing solid-body rotation: Quasibound spectra

  • H. S. Vieira
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Abstract

In a very recent paper, we computed the quasibound states of massless acoustic excitations interacting with a new (effective) acoustic geometry with circulation. Notably, the behavior of this acoustic black hole aligns with the phenomenology observed in recent experiments that include superfluids. Such vortex fluid flow bundles exhibit solid-body rotation at length scales larger than the inter-vortex distance, which adds some complexity to the study of quantum fluid behavior. To theoretically deal with this issue, we present an extension of our previous results by including a solid-body rotation term at the angular fluid velocity and then we perform a spectral study by using the analytical solutions for the scalar wave equation of motion. The resulting analytically solvable framework bridges idealized acoustic black-hole models and experimentally motivated rotating-fluid configurations, providing a more realistic description of quasibound state spectra in analog gravity.

Versions

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Cite

BibTeXRIS
BibTeX
@misc{vieira2026extending,
  title = {{Extending the model of rotating acoustic geometries to include nonvanishing solid-body rotation: Quasibound spectra}},
  author = {H. S. Vieira},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2605.16621},
  eprint = {2605.16621},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.16621},
}
RIS
TY  - UNPB
TI  - Extending the model of rotating acoustic geometries to include nonvanishing solid-body rotation: Quasibound spectra
AU  - H. S. Vieira
PY  - 2026
DA  - 2026/09/13
PB  - arXiv
DO  - 10.48550/arxiv.2605.16621
UR  - https://arxiv.org/abs/2605.16621
AB  - In a very recent paper, we computed the quasibound states of massless acoustic excitations interacting with a new (effective) acoustic geometry with circulation. Notably, the behavior of this acoustic black hole aligns with the phenomenology observed in recent experiments that include superfluids. Such vortex fluid flow bundles exhibit solid-body rotation at length scales larger than the inter-vortex distance, which adds some complexity to the study of quantum fluid behavior. To theoretically deal with this issue, we present an extension of our previous results by including a solid-body rotation term at the angular fluid velocity and then we perform a spectral study by using the analytical solutions for the scalar wave equation of motion. The resulting analytically solvable framework bridges idealized acoustic black-hole models and experimentally motivated rotating-fluid configurations, providing a more realistic description of quasibound state spectra in analog gravity.
ER  -