Traversable wormholes with logarithmic shape function in f(R,T) gravity

Abstract

In this work, a new form of the logarithmic shape function is proposed for the linear [Formula: see text] gravity, [Formula: see text] where [Formula: see text] is an arbitrary coupling constant, in wormhole geometry. The desired logarithmic shape function accomplishes all necessary conditions for a traversable and asymptotically flat wormhole. The obtained wormhole solutions are analyzed from the energy conditions for different values of [Formula: see text]. It has been observed that our proposed shape function for the linear form of [Formula: see text] gravity, represents the existence of exotic matter and non-exotic matter. Moreover, for [Formula: see text] i.e. for the general relativity case, the existence of exotic matter for the wormhole geometry has been confirmed. Further, the behavior of the radial state parameter [Formula: see text], the tangential state parameter [Formula: see text], and the anisotropy parameter △ describing the geometry of the universe, has been presented for different values of [Formula: see text] chosen in [Formula: see text].