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

In this work, a new form of the logarithmic shape function is proposed for the linear f(R,T) gravity, f(R,T) = R + 2 lambda T where lambda 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 lambda. It has been observed that our proposed shape function for the linear form of f(R,T) gravity, represents the existence of exotic matter and non-exotic matter. Moreover, for lambda = 0, 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 omega r, the tangential state parameter omega t, and the anisotropy parameter o describing the geometry of the universe, has been presented for different values of lambda chosen in [-100, 100].