English

Casimir traversable wormholes in Gauss-Bonnet gravity

General Relativity and Quantum Cosmology 2026-07-24 v1

Abstract

In this work, we study Casimir wormhole solutions and investigate satisfaction of energy conditions in the framework of Einstein-Gauss-Bonnet (EGB) gravity. We firstly find traversable wormhole solutions supported by a general form for the Casimir energy density. Applying a specific redshift function, we choose suitable parameters that respect the energy conditions in the vicinity of the throat due to the presence of higher order curvature terms. Then, we check the energy conditions considering non-constant redshift function and for suitable choice of model parameters, we find that these conditions are satisfied at infinity as well as in the vicinity of the throat. The stability of the Casimir traversable wormhole solutions are investigated using the Tolman-Oppenheimer-Volkoff (TOV) equation. Finally, we study trajectory of null as well as timelike particles in the wormhole spacetime.

Keywords

Cite

@article{arxiv.2607.22876,
  title  = {Casimir traversable wormholes in Gauss-Bonnet gravity},
  author = {Mohammad Reza Mehdizadeh and Amir Hadi Ziaie},
  journal= {arXiv preprint arXiv:2607.22876},
  year   = {2026}
}

Comments

26 pages and 13 figues