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PreprintCC BY 4.0arXiv

Can wormholes have vanishing Love numbers?

  • Shauvik Biswas
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Abstract

Wormholes are fascinating alternatives to black hole geometries. In this paper, we have studied a special case of wormhole solution in the context of R=0 spacetime. Our approximate analytical calculations show that under a strictly static axial gravitational perturbation of this spacetime, the magnetic-type tidal Love number (for ℓ=2) vanishes if we keep the solution of the master equation up to linear order in the regularisation parameter of the geometry. Moreover, imposing physically viable boundary conditions on the master variable we have corroborated our result with the numerical solutions. We have further extended our analysis towards the case of Damour-Solodukhin wormhole, which also yields similar conclusion.

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Cite

BibTeXRIS
BibTeX
@misc{biswas2026wormholes,
  title = {{Can wormholes have vanishing Love numbers?}},
  author = {Shauvik Biswas},
  howpublished = {arXiv},
  year = {2026},
  month = jul,
  doi = {10.48550/arxiv.2605.03025},
  eprint = {2605.03025},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.03025},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Can wormholes have vanishing Love numbers?
AU  - Shauvik Biswas
PY  - 2026
DA  - 2026/07/20
PB  - arXiv
DO  - 10.48550/arxiv.2605.03025
UR  - https://arxiv.org/abs/2605.03025
AB  - Wormholes are fascinating alternatives to black hole geometries. In this paper, we have studied a special case of wormhole solution in the context of R=0 spacetime. Our approximate analytical calculations show that under a strictly static axial gravitational perturbation of this spacetime, the magnetic-type tidal Love number (for ℓ=2) vanishes if we keep the solution of the master equation up to linear order in the regularisation parameter of the geometry. Moreover, imposing physically viable boundary conditions on the master variable we have corroborated our result with the numerical solutions. We have further extended our analysis towards the case of Damour-Solodukhin wormhole, which also yields similar conclusion.
ER  -