Existence of Static Wormholes in $f(\mathcal{G},T)$ Gravity

Abstract

This paper investigates static spherically symmetric traversable wormhole solutions in $f(\mathcal{G},T)$ gravity ($\mathcal{G}$ and $T$ represent the Gauss-Bonnet invariant and trace of the energy-momentum tensor, respectively). We construct explicit expressions for ordinary matter by taking specific form of red-shift function and $f(\mathcal{G},T)$ model. To analyze possible existence of wormholes, we consider anisotropic, isotropic as well as barotropic matter distributions. The graphical analysis shows the violation of null energy condition for the effective energy-momentum tensor throughout the evolution while ordinary matter meets energy constraints in certain regions for each case of matter distribution. It is concluded that traversable WH solutions are physically acceptable in this theory.