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 φᵃ, 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 Pᵣ=ωρ, with a consequence ω<-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 4π²η², which is independent of the impact parameter b, and an additional term, which depends on the radius of the wormhole throat b₀ as well as the dimensionless constant ζ.