Wormhole solutions in $f(R)$ Gravity

Abstract

In this work, we have studied the traversable wormholes geometry in $f(R)$ theory gravity, where $R$ be the Ricci scalar. The wormhole solution for some assumed $f(R)$ functions have been presented. The assumption of $f(R)$ is based on the fact that its behaviour changed with an assumed parameter $\alpha$ rather than the deceleration parameter. Three models are presented based on the physically motivated shape function and their behaviours are studied.