A topologically charged four-dimensional wormhole and the energy conditions

Abstract

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, ds 2 = -(1-(2M/√(x 2+b 2))) dt 2+(1-(2M/√(x 2+b 2)))-1 ·(dx 2/α2)+(x 2+a 2) (dθ 2+sin2 θ dϕ 2). This wormhole is uniquely defined by a pair of key parameters including global monopole charge. 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.