Traversable Wormhole Solutions through Decoupling Approach in Rastall Theory

Abstract

This paper explores the construction of traversable wormhole solutions in the context of Rastall’s gravity using the extended gravitational decoupling method. Based on the modified field equations of this new theory, we apply the present scheme to incorporate an extra gravitational source, which leads to a fully transformed version of the Schwarzschild solution. By means of an appropriate coordinate transformation, this modified geometry is reinterpreted as a wormhole spacetime. The analysis proceeds by investigating the resulting configuration’s fundamental physical and geometric features, specifically, null energy conditions’ violation, gravitational mass behavior, volume integral quantifier evaluation, and embedding diagram. A key finding is that the wormhole neck arises obviously from the distorted geometry while also satisfying the traversability-required flare-out criterion. Plotting the energy conditions for various Rastall parameter values reveal localized null energy condition violations near the throat, which is consistent with the presence of exotic matter. However, the total exotic matter content is shown to be minimal and highly sensitive to the choice of model parameters. These results underscore the potential of Rastall gravity, in conjunction with gravitational decoupling, to support physically plausible wormhole geometries with reduced exotic matter requirements.