Inverse trigonometric shape function less-complex wormhole configurations in 𝔻-dimensional Einstein gravity

In this paper, we construct and investigate traversable wormhole solutions with [Formula: see text]-dimensional Einstein gravity corrections by considering a static and spherically symmetric spacetime with a constant redshift function. We employ an inverse trigonometric shape function of the form [Formula: see text], where [Formula: see text] denotes the throat radius and [Formula: see text] represents a shape function parameter. By introducing the typological charged parameter [Formula: see text] together with the curvature coupling constant [Formula: see text], which enters the field equations through the effective parametrization [Formula: see text]. We derive closed-form expressions for the energy density, radial, and tangential pressures, also examine the flare-out and throat conditions, embedding diagrams, and asymptotic behavior to ensure geometric consistency. A comprehensive energy condition analysis is carried out, highlighting that exotic matter is confined near the throat and its total amount can be significantly reduced by tuning the monopole parameter and curvature coupling, while we further explore the role of anisotropy, showing that the positive anisotropy parameter introduces a repulsive force that supports the throat structure. The complexity factor is also investigated which reveals that the wormhole configuration under consideration tends toward minimal complexity at large radial distances. Additionally, we establish the mass–radius relation demonstrating its dependence on exotic matter contributions and monopole effects and the volume integral quantifier is employed to evaluate the global distribution of exotic matter for the proposed inverse trigonometric wormhole model in higher-dimensional Einstein gravity.

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