Wormhole solutions in f (R) gravity satisfying energy conditions

Abstract

Without reference to exotic sources construction of viable wormholes in Einstein's general relativity remained ever a myth. With the advent of modified theories, however, specifically the f(R) theory, new hopes arose for the possibility of such objects. From this token, we construct traversable wormholes in f(R) theory supported by a fluid source which respects at least the weak energy conditions. We provide an example (Example 1) of asymptotically flat wormhole in f(R) gravity without ghosts.