Rotation slows the instability of Ellis-Bronnikov wormholes
Abstract
We present nonlinear 3+1 evolutions of rotating Ellis-Bronnikov wormholes. We construct stationary rotating drainhole solutions with a spectral solver up to an equatorial rotation velocity of 99% of the speed of light, validate the solver against published symmetric solutions, and correct an inconsistency in a published field equation. Perturbed only by truncation error, the evolutions show that rotation slows the radial instability of the static wormhole. Near 30% of the extremal angular momentum the unperturbed throat expands instead of collapsing, rather than the instability disappearing as second-order perturbation theory suggests. From 58% upward we find no evidence of instability over the evolved times; at the fastest spin this holds at three resolutions. Collapsing rotating throats emit an axisymmetric quadrupolar gravitational-wave burst whose energy grows with spin. Second-order perturbative initial data trigger the instability through their own truncation error, so they are unsuitable for stability studies.
Related
- Binary Ellis-Bronnikov wormholes in 3+1 numerical relativity: mergers, fly-bys and gravitational waves
- Ellis-Bronnikov Wormhole Shadows with Spherically Symmetric Accretion Flow
- On the theoretical instability strips of γ-Doradus stars including the effect of the metallicity and rotation
- Anomaly-ranked confirmation slows new-class learning
- Can wormholes have vanishing Love numbers?
BibTeX
@misc{shirokov2026rotation,
title = {{Rotation slows the instability of Ellis-Bronnikov wormholes}},
author = {Nikita M. Shirokov and Ilya Nachevsky},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.29941},
eprint = {2610.29941},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.29941},
}
RIS
TY - UNPB
TI - Rotation slows the instability of Ellis-Bronnikov wormholes
AU - Nikita M. Shirokov
AU - Ilya Nachevsky
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.29941
UR - https://arxiv.org/abs/2610.29941
AB - We present nonlinear 3+1 evolutions of rotating Ellis-Bronnikov wormholes. We construct stationary rotating drainhole solutions with a spectral solver up to an equatorial rotation velocity of 99% of the speed of light, validate the solver against published symmetric solutions, and correct an inconsistency in a published field equation. Perturbed only by truncation error, the evolutions show that rotation slows the radial instability of the static wormhole. Near 30% of the extremal angular momentum the unperturbed throat expands instead of collapsing, rather than the instability disappearing as second-order perturbation theory suggests. From 58% upward we find no evidence of instability over the evolved times; at the fastest spin this holds at three resolutions. Collapsing rotating throats emit an axisymmetric quadrupolar gravitational-wave burst whose energy grows with spin. Second-order perturbative initial data trigger the instability through their own truncation error, so they are unsuitable for stability studies.
ER -