Conformal and traversable wormholes with monopole and perfect fluid in f(R)-gravity

Abstract

We investigate spherically symmetric spacetime filled with global monopole and perfect fluid in [Formula: see text]-gravity. We consider field equations of [Formula: see text]-gravity in order to understand the global monopole and the perfect fluid curve to the spacetime. It has taken advantages of conformal symmetry properties of the spacetime to solve these equations. The obtained solutions are improved in case of phantom energy. It is shown that obtained [Formula: see text] function is consistent with well-known models of the modified gravity. Also, it is examined whether the obtained solutions support a traversable wormhole geometry. Obtained results of the solutions have been concluded.