Abstract
Wormholes are considered as one of the most interesting hypothetical objects whose existence is also predicted by Einstein’s relativity. It is generally argued that the theoretical construction of such objects demands an exotic kind of anisotropic matter (a matter which is not compatible with the energy constraints). The existence of such matter is regarded as a primary condition for the existence of such geometries. The present manuscript examines the existence of wormhole structures in f(R, ϕ) gravity by taking hyperbolic shape function with constant and logarithmic redshift functions into account. For this purpose, we check the validity of energy condition bounds in both cases graphically. It is found that the wormhole geometries can be constructed for both constant and logarithmic redshift functions when anisotropic phantom fluid characterized by the EoS ωr=pr/ρ<−1 is taken. Further, we discuss the background features of such objects.
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