f(R)$f(R)$ Wormholes Embedded in a Pseudo–Euclidean Space <i>E</i> ⁵

This work is devoted to the study of analytic wormhole solutions within framework f ( R ) $f(R)$ gravity theory. To check possibility having structures satisfying energy conditions, by means class I approach pair { Φ r , b } $\lbrace \Phi (r), b(r)\rbrace$ describing geometry has been obtained. Then, in conjunction with a remarkably model, satisfaction null and weak conditions at throat its neighborhood investigated. do so, some constant parameters have bounded restricting space parameter. In this concern, model derivatives are playing major role, specially considering violation non–existence theorem. Furthermore, shape function should be from above Gronwall–Bellman function, where red–shift plays relevant role. By analyzing main properties spatial stations tidal accelerations throat, possibilities for human travel explored.