Traversable wormholes in $f(R)$-massive gravity

In this work, the study of traversable wormholes in f(R) massive gravity with the function f(R)=R+α1Rn, where α1 and n are arbitrary constants, is considered. We choose the shape function of the form b(r)=rexp(-α(r-r0)) with α and r0 being an arbitrary constant and a radius of the wormhole throat, respectively. Here α affects the radius of curvature of the wormhole. We consider a spherically symmetric and static wormhole metric and derive field equations. Moreover, we visualize the wormhole geometry using embedding diagrams. Furthermore, we check the null, weak, dominant, and strong energy conditions at the wormhole throat with a radius r0 invoking three types of redshift functions, Φ=constant, γ1/r, log(1+γ2/r) with γ1 and γ2 are arbitrary real constants. We also compute the volume integral quantifier to calculate the amount of the exotic matter near the constructed wormhole throat.