From black holes to wormholes via minimal geometric deformation in rastall theory

In this work, we investigate the construction of wormhole solutions within the framework of Rastall gravity by employing the minimal gravitational decoupling approach. We begin by formulating the modified field equations of Rastall theory. Utilizing this scheme, we decouple these equations and construct a minimally deformed Schwarzschild black hole solution. This deformed black hole is then linked to a wormhole geometry, and the resulting configuration is analyzed in detail. We examine key physical and geometrical properties of the wormhole, including the violation of the null energy conditions, the behavior of the active gravitational mass, the volume integral quantifier, and the embedding diagram. Our analysis reveals that the wormhole throat emerges naturally in the deformed geometry and satisfies the necessary flare-out condition. The effective energy conditions are plotted for various values of the Rastall parameter, confirming the presence of exotic matter near the throat. The results demonstrate that the amount of exotic matter required to sustain the wormhole can be minimized through appropriate geometric configurations, thereby supporting the viability of traversable wormholes in Rastall gravity.