Spherically Symmetric Wormhole Solutions admitting Karmarkar Condition

TL;DR

This paper explores traversable wormhole solutions within $f( ext{G},T)$ gravity, using the Karmarkar condition to derive shape functions, analyze energy conditions, and assess stability, demonstrating the existence of viable wormholes in this modified gravity framework.

Contribution

It introduces a novel approach using the Karmarkar condition in $f( ext{G},T)$ gravity to construct and analyze traversable wormhole solutions with stability and energy condition assessments.

Findings

Viable traversable wormhole solutions are found in $f( ext{G},T)$ gravity.

The shape function satisfies all physical and geometric conditions.

Wormholes are shown to be stable under certain models.

Abstract

This paper investigated the viable traversable wormhole solutions through Karmarkar condition in the context of $f(\mathcal{G},T)$ theory. A static spherical spacetime with anisotropic matter configuration is used to study the wormhole geometry. Karmarkar condition is used to develop a viable shape function for a static wormhole structure. A wormhole geometry is constructed using the resulting shape function that satisfies all the required conditions and connects the asymptotically flat regions of the spacetime. To assess the viability of traversable wormhole geometries, the energy conditions are analyzed by various models of this theory. Further, their stable state is investigated through sound speed and adiabatic index. This investigation demonstrates the presence of viable traversable wormhole solutions in the modified theory.