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

TL;DR

This paper explores static wormhole solutions in $f( ext{G},T)$ gravity, demonstrating their physical viability by analyzing energy conditions and matter distributions.

Contribution

It provides explicit wormhole solutions in $f( ext{G},T)$ gravity with various matter types, showing their physical acceptability and energy condition violations.

Findings

Null energy condition is violated for effective energy-momentum tensor.

Ordinary matter satisfies energy constraints in certain regions.

Traversable wormholes are physically acceptable in this theory.

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.