Exploring Cylindrical Solutions in Modified f(G) Gravity

TL;DR

This paper derives exact cylindrically symmetric solutions in modified Gauss-Bonnet gravity, analyzes their physical properties, and predicts the possible existence of cylindrical wormholes due to null energy condition violations.

Contribution

It provides seven families of exact solutions in f(G) gravity and explores their physical implications, including wormhole predictions.

Findings

Seven families of exact solutions identified.

Null energy condition violations suggest cylindrical wormholes.

Mass per unit length evaluated for solutions.

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.