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-(2 M /√( x 2 + b 2 ))) dt 2 +(1-(2 M /√( x 2 + b 2 ))) -1 ·( dx 2 /α 2 )+( x 2 + a 2 ) ( dθ 2 +sin 2 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.

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