Casimir traversable wormholes in Gauss-Bonnet gravity

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.