Some specific wormhole solutions in $f(R)$-modified gravity theory

Abstract

The paper deals with the static spherically symmetric wormhole solutions in $f(R)$-modified gravity theory with anisotropic matter field and for some particular choices for the shape functions. The present work may be considered as an extension of the general formalism in \cite{r15} for finding wormhole solutions. For isotropic matter distribution it has been shown that wormhole solutions are possible for zero tidal force and it modifies the claim in \cite{r17}. Finally energy conditions are examined and it is found that all energy conditions are satisfied in a particular domain with a particular choice of the shape function.