Gaussian distributed wormholes exhibiting conformal motion in f(T) gravity

Abstract

This paper investigates the possibility of static spherical symmetric wormholes existence exhibiting conformal motion in a generalized teleparallel formulation, namely [Formula: see text] gravity. For this purpose, we assume the matter distribution as anisotropic fluid with energy density of Gaussian distribution, a well-known non-commutative aspect of string theory. By using non-diagonal tetrad components in the torsional formulation, we consider three interesting viable models of [Formula: see text]. In each case, due to the complexity of the resulting field equations, it is seen that the analytic solution is difficult to find. Thus the feasible and realistic wormholes are acquired using numerical approach by fixing the involved free parameters suitably. Furthermore, we investigate the stability of these wormhole solutions graphically and it is shown that the obtained wormhole solutions are physically stable in all cases.