Second-order slow rotation of wormholes in Einstein-scalar-Gauss-Bonnet gravity

@misc{murodov2026secondorder,
  title = {{Second-order slow rotation of wormholes in Einstein-scalar-Gauss-Bonnet gravity}},
  author = {Sardor Murodov and Bekzod Rahmatov and Javlon Rayimbaev and Bobomurat Ahmedov},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.18475},
  eprint = {2609.18475},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.18475},
}

TY  - UNPB
TI  - Second-order slow rotation of wormholes in Einstein-scalar-Gauss-Bonnet gravity
AU  - Sardor Murodov
AU  - Bekzod Rahmatov
AU  - Javlon Rayimbaev
AU  - Bobomurat Ahmedov
PY  - 2026
DA  - 2026/09/16
PB  - arXiv
DO  - 10.48550/arxiv.2609.18475
UR  - https://arxiv.org/abs/2609.18475
AB  - We investigate slowly rotating traversable wormholes in Einstein--scalar--Gauss--Bonnet gravity beyond the linear rotation regime. The static backgrounds are obtained without expanding in the Gauss--Bonnet coupling, while rotational effects are treated perturbatively up to second order. Both monopolar and quadrupolar deformations are included, allowing us to determine the spin-induced changes in the asymptotic charges, throat geometry, energy-condition behavior, and mass quadrupole. The quadrupolar equations develop an internal regular singular point, which is handled by selecting the regular local solution through a Frobenius analysis. The rotation-induced response of the throat source is incorporated consistently through the junction conditions. Independent shooting and collocation calculations of the quadrupolar sector give mutually consistent solutions. The rotating throat remains oblate throughout the fixed-coupling family, while at χ=0.15 the smooth-bulk near-throat radial null-energy-condition violation persists but its radial extent becomes latitude dependent. These results provide a self-consistent second-order description of rotating Einstein--scalar--Gauss--Bonnet wormholes.
ER  -