Physical features of global monopole charged traversable wormholes

We analyze Morris Thorne-type traversable wormhole solutions in endowed with a topological global monopole charge and a cosmological constant, by adopting an anisotropic fluid source in the context of D -dimensional Einstein gravity. To continue our systematic investigation, we consider two trigonometric-hyperbolic shape functions. The geometric analysis (2D/3D embeddings and flare-out conditions) confirms regular, traversable throat geometries. From the field equations, we derive explicit expressions for the energy density and directional pressures and show that the radial null energy condition is generically violated at the throat, signaling the presence of exotic matter, while this condition tangentially can remain nonnegative for suitable parameter choices. The active gravitational mass shows negative values near the throat, indicating a localized exotic matter contribution; however, the anisotropy parameter is positive in representative configurations, producing outward directed stresses that assist throat stability. The stability is further supported by an adiabatic index approach that exceeds the relativistic threshold in the explored parameter regimes, and to measure the total exotic matter budget, we utilize the volume integral quantifier approach within considered gravity scenario. This work offers valuable theoretical insights into wormhole solutions in higher-dimensional Einstein gravity, contributing to the broader understanding of hypothetical traversable wormholes in modified gravitational theories.

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