Study of Traversable Wormhole in f(R) Gravity

Here in this work we have carried out the study of traversable wormhole in f(R) massive gravity with the function \(f(R)=R+\alpha R^n\) , where \(\alpha \) and n are arbitrary constants. We have chosen the shape function of the form \(b(r)=r\exp (1-\frac{r}{r_0})\) , where \(r_0\) is the radius of the wormhole throat. We have considered a spherically symmetric and static wormhole metric and derived field equations. Moreover we visualize the wormhole geometry using embedding diagrams. Subsequently also checked the necessary energy conditions viz. null, weak and strong energy conditions near the throat region with a throat radius \(r_0\) . For this we have chosen the redshift function as \(\phi =-\frac{r_0}{r}\) . Finally we have also tried to calculate the amount of the exotic matter near the wormhole throat.