Exploring cylindrical solutions in modified f(G) gravity

Abstract

We present detailed cylindrically symmetric solutions for a type of Gauss–Bonnet gravity. We derive the full system of 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 a 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.