Imprints of monopole charge in Morris-Thorne type wormholes and energy conditions under the influence of higher dimensional gravity

Abstract

This study explores anisotropic Morris-Thorne-type wormhole models with $D$-dimensional Einstein gravity, focusing on various shape functions. We analyze the influence of the monopole parameter on the wormhole's throat and curvature through 2$D$ and 3$D$ embedding diagrams, showing that higher monopole values lead to wider throats and flatter geometries, enhancing stability and traversability. Energy conditions are examined for four wormhole models (M-I to M-IV), revealing that exotic matter is required near the throat. The anisotropy parameter is studied to assess internal force behavior, providing insight into the wormhole's structural stability. Additionally, the volume integral quantifier is employed to estimate the total amount of exotic matter, indicating that only a small quantity is needed to sustain traversable geometries. These findings offer theoretical insights into wormhole configurations in $D$-dimensional Einstein gravity and their relevance in extended gravitational frameworks.