Traversable wormhole solutions in f(R,T) gravity with three novel shape functions.

Morris and Thorne [Am. J. Phys.56 (1988) 395] developed wormhole solutions in General Relativity which requires the dissatisfaction of null energy condition at the throat. The current scenario of the universe has been explained by using the background of modified gravity and it has inspired the researchers to explore the wormhole solutions in modified versions of gravity. In this paper, the f (R , T) theory of gravity proposed by Harko et al. [Phys. Rev. D84 (2011) 024020] is taken to investigate traversable wormhole solutions. These solutions have been developed in three cases. In each case, the shape function is derived, its characteristics are studied and the embedding surface is constructed. Further, in each case, the wormhole solutions are constructed and energy conditions are tested to know about the matter sustaining the wormhole geometries. [ABSTRACT FROM AUTHOR]