Padé approximated traversable wormholes in f(R,T) gravity

Abstract

In this paper, we center our attention on exploring wormhole solutions within $f(R,T)$ gravity theory, with R symbolizing the curvature in scalar form and T denoting trace of stress-energy tensor associated with matter. With the intention of probing this, we assess a geometric setup characterized by static spherically symmetric conditions featuring anisotropic matter distributions. A distinctive shape function, which utilizes the Padé approximation, is adopted to ensure compliance with constraints. Incorporating the $f\left(R\right)=\alpha R^m-\beta R^n$ model, we assess the behavior of energy conditions. Moreover, we provided a graphical analysis for all energy conditions, presenting the examination of physically feasible wormhole geometries by highlighting the valid regions associated with each condition. A diagram illustrating the potential traversable wormhole is depicted through embedding. Moreover, we have analyzed the equilibrium state of our system by employing the Tolman-Oppenheimer-Volkoff equation. It is inferred that viable traversable wormholes may potentially exist within this framework.