Exact Rotating Wormholes in Five Dimensions and Their Exceptional-Point Instability
Abstract
We give an independent closed-form construction of rotating five-dimensional Ellis--Bronnikov wormholes with equal angular momenta and analyze the radial instability of the reflection-symmetric family. The nontrivial coupled metric equations reduce exactly to an open A2 Toda system. The general two-ended solution is expressed in terms of elementary Toda tau functions; the symmetric subclass reduces to a particularly simple one-parameter family interpolating between the static wormhole and the extremal equal-spin Myers--Perry geometry. On this exact background we revisit the cohomogeneity-one perturbation problem. Besides the ordinary unstable mode of the static wormhole, rotation renders the descendant of its non-normalizable zero mode normalizable. The two purely imaginary unstable frequencies coalesce at |J|/A=0.100628, where their eigenvectors coalesce as well, identifying a second-order exceptional point. Beyond it the pair continues as ω±=±ωR+iωI with ωI>0: the apparent loss of the radial instability found in the original real-eigenvalue treatment is therefore not stabilization, but a transition to an oscillatory instability. We follow this branch deep into the rapidly rotating regime, where its growth rate becomes strongly suppressed.
Related
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- Slowly Rotating Wormholes in f(R,T) Gravity: Particle Dynamics and Weak-field Lensing
- Rotation slows the instability of Ellis-Bronnikov wormholes
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BibTeX
@misc{blazquezsalcedo2026exact,
title = {{Exact Rotating Wormholes in Five Dimensions and Their Exceptional-Point Instability}},
author = {Jose Luis Blázquez-Salcedo and Luis Manuel González-Romero and Fech Scen Khoo and Burkhard Kleihaus and Jutta Kunz and Pablo Navarro Moreno},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.38659},
eprint = {2610.38659},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.38659},
}
RIS
TY - UNPB
TI - Exact Rotating Wormholes in Five Dimensions and Their Exceptional-Point Instability
AU - Jose Luis Blázquez-Salcedo
AU - Luis Manuel González-Romero
AU - Fech Scen Khoo
AU - Burkhard Kleihaus
AU - Jutta Kunz
AU - Pablo Navarro Moreno
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.38659
UR - https://arxiv.org/abs/2610.38659
AB - We give an independent closed-form construction of rotating five-dimensional Ellis--Bronnikov wormholes with equal angular momenta and analyze the radial instability of the reflection-symmetric family. The nontrivial coupled metric equations reduce exactly to an open A_2 Toda system. The general two-ended solution is expressed in terms of elementary Toda tau functions; the symmetric subclass reduces to a particularly simple one-parameter family interpolating between the static wormhole and the extremal equal-spin Myers--Perry geometry. On this exact background we revisit the cohomogeneity-one perturbation problem. Besides the ordinary unstable mode of the static wormhole, rotation renders the descendant of its non-normalizable zero mode normalizable. The two purely imaginary unstable frequencies coalesce at |J|/A=0.100628, where their eigenvectors coalesce as well, identifying a second-order exceptional point. Beyond it the pair continues as ω_±=±ω_R+iω_I with ω_I>0: the apparent loss of the radial instability found in the original real-eigenvalue treatment is therefore not stabilization, but a transition to an oscillatory instability. We follow this branch deep into the rapidly rotating regime, where its growth rate becomes strongly suppressed.
ER -