Charged wormholes in f(R,T) extended theory of gravity

TL;DR

This paper presents new solutions for charged wormholes within the f(R,T) extended gravity theory, demonstrating that charge can help satisfy stability and energy conditions, unlike in classical General Relativity.

Contribution

It introduces the first known charged wormhole solutions in f(R,T) gravity where energy conditions are satisfied, highlighting the role of charge in stability.

Findings

Charge helps satisfy stability conditions.

Energy conditions are obeyed in these solutions.

Wormholes can exist without exotic matter in this framework.

Abstract

Wormholes are a solution for General Relativity field equations which characterize a passage or a tunnel that connects two different regions of space-time and is filled by some sort of exotic matter, that does not satisfy the energy conditions. On the other hand, it is known that in extended theories of gravity, the extra degrees of freedom once provided may allow the energy conditions to be obeyed and, consequently, the matter content of the wormhole to be non-exotic. In this work, we obtain, as a novelty in the literature, solutions for charged wormholes in the $f(R,T)$ extended theory of gravity. We show that the presence of charge in these objects may be a possibility to respect some stability conditions for their metric. Also, remarkably, the energy conditions are respected in the present approach.