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Construction of complexity-free fuzzy Dark Matter wormholes

Z. YousafDepartment of Mathematics, University of the Punjab, Quaid-i-Azam Campus, Lahore 54590, PakistanArooj AdeelDepartment of Mathematics, Division of Science and Technology, University of Education, Lahore, PakistanMuhammad RizwanDepartment of Mathematics, University of the Punjab, Quaid-i-Azam Campus, Lahore 54590, PakistanGhulam MustafaDepartment of Physics, Zhejiang Normal University, Jinhua 321004, P. R. ChinaAkbar AliDepartment of Mathematics, College of Science, University of Haíl, Haíl, Kingdom of Saudi Arabia
2024en
ABI

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This work aims to explore the possibility of wormholes (WHs) fenced by fuzzy Dark Matter (FDM) haloes relying on the Einasto density profile (EDP). The research explains how combining the EDP with an anisotropic stress-energy momentum tensor leads to the formation of WH solutions corresponding to different Einasto index values. We have investigated the existence of fuzzy WHs and developed the shape function for them. An analysis is conducted on the active gravitational mass and the lodging diagrams for a certain form of the shape function. Additionally, we have also examined the exotic matter’s breach of the null energy conditions, the equilibrium conditions, and the complexity factor associated with the fuzzy WHs.

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