  We present cylindrically symmetric solutions for a type of the Gauss-Bonnet
gravity, in details. We derive the full system of the field equations and show
that there exist seven families of exact solutions for three forms of viable
models. By applying the method based on the effective fluid energy momentum
tensor components, we evaluate the mass per unit length for the solutions. From
dynamical point of the view, by evaluating the null energy condition for these
configurations, we show that in some cases the azimuthal pressure breaks the
energy condition. This violation of the null energy condition predicts the
existence of a cylindrical wormhole.
