Abstract:
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.
