Conical Morris-Thorne wormholes with a global monopole charge

In this paper, we have established an asymptotically conical Morris-Thorne wormhole solution that is supported by an anisotropic matter fluid and a global monopole charge in the framework of a 1 + 3 dimensional gravity that is minimally coupled to a triplet of scalar fields phi(a), which results from the breaking of a global O(3) symmetry. For the anisotropic matter fluid, we have considered the equation of state (EoS) given by P-r = omega rho with a consequence omega < -1, that implies a so-called phantom energy at the throat of the wormhole, which violates the energy conditions. In addition, we study the weak gravitational lensing effect using the Gauss-Bonnet theorem (GBT) applied to the wormhole optical geometry. We show that the total deflection angle consists of a term given by 4 pi(2)eta(2), which is independent of the impact parameter b, and an additional term, which depends on the radius of the wormhole throat b(0) as well as the dimensionless constant zeta.