Implications of vanishing complexity and Navarro-Frenk-White profile on the existence of traversable wormholes in f(R,T) gravity

Abstract

This article focuses on assessing the viability of traversable wormholes admitting the Navarro-Frenk-White profile in $f(R,T)$ gravity. Our analysis takes into account the Morris-Thorne spacetime to establish the wormhole model and constructs anisotropic equations of motion corresponding to a standard modified model. We are then engaged in deriving the shape functions by considering constant as well as variable redshift functions. Both these functions fulfill the required conditions and establish a link between two asymptotically flat areas of spacetime. Afterwards, we obtain a couple of solutions with the help of developed shape functions and ensure that they conform to the violation of null energy bounds. Additionally, we analyze the complexity factor as well as the active gravitational mass and explore the point/region on a manifold where the former factor vanishes. It is also demonstrated that the later quantity gains negative values in some spacetime regions. The implication of diverse stability checks is also performed through graphical interpretation. It is concluded that the constructed wormhole structures satisfy the key criteria, thereby their existence is ensured in this extended gravity theory.