Impact of Charge on Traversable Wormhole Solutions in $f(R,T)$ Theory

TL;DR

This paper investigates how charge influences the structure and stability of traversable wormholes within $f(R,T)$ gravity, demonstrating that charged solutions can be viable and stable in this modified theory.

Contribution

It introduces a method to construct wormhole solutions in $f(R,T)$ gravity considering charge and analyzes their stability and energy conditions.

Findings

Charged wormholes satisfy all necessary conditions.

Stable wormhole solutions are achievable with charge.

Charge enhances the viability of wormhole solutions.

Abstract

This paper examines the effects of charge on traversable wormhole structure in $f(R,T)$ theory. For this purpose, we use the embedding class-I approach to build a wormhole shape function from the static spherically symmetric spacetime. The developed shape function satisfies all the required conditions and connects two asymptotically flat regions of spacetime. We consider different models of this modified theory to examine the traversable wormhole solutions through null energy condition and also check their stable state. We conclude that viable and stable wormhole solutions are obtained under the influence of charge in this gravitational theory.