A topologically charged four-dimensional wormhole and the energy conditions

In this research work, our primary focus revolves around the examination of a specific category of traversable wormholes known as topologically charged generalized Schwarzschild-Simpson-Visser-type wormhole, $d{s}^2=-(1-\frac{2M}{\sqrt{x^2+b^2}})d{t}^2+(1-\frac{2M}{\sqrt{x^2+b^2}}{)}^{-1}(\frac{d{x}^2}{{\alpha }^2})+(x^2+a^2)(d{\theta }^2+{\sin }^2\theta d{\phi }^2)$. This wormhole is uniquely defined by a pair of key parameters (length scales $a$ and $b$), together with the global monopole charge $\alpha$. A noteworthy outcome of our investigation is the observation that the energy-momentum tensor associated with this wormhole complies with both the weak energy condition (WEC) and the null energy condition (NEC). Furthermore, incorporation of global monopole charge introduces a substantial influence on the curvature properties of wormhole space-time and various associated physical quantities derived from this geometry.