Traversable wormholes in f(R) gravity with constant and variable redshift functions

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The present paper is aimed at the study of traversable wormholes in f(R) gravity with a viable f(R) function defined as f(R)=R−μRc(RRc)p, where R is scalar curvature, μ, Rc and p are constants with μ, Rc > 0 and 0 < p < 1 (Amendola et al., 2007a). The metric of wormhole is dependent on shape function b(r) and redshift function ϕ(r), which characterize its properties, so the shape function and redshift function play an important role in wormhole modeling. In this work, the wormhole solutions are determined for (i) ϕ(r)=1r and (ii) ϕ(r)=c (constant) with b(r)=rexp(r−r0) (Samanta et al., 2018). Further, the regions respecting the energy conditions are investigated.