Abstract
In the present work, we study wormhole geometry in the framework of general relativity and explore the effects of quantum wave dark matter on the dynamical configuration of the shell around the wormhole. Aiming this aspect some specific shape functions have been checked for physically interesting results. Firstly, we develop the basic formalism and the respective field equations. Thereafter, we introduce quantum wave dark matter as an input for getting reasonable wormhole solutions where the physical interpretation of energy conditions within the average pressure scenario has been considered. The positive behavior of quantum wave dark matter density confirms the compatibility for four different parametric values of the model. We also use the specific values of boson mass parameter within the observational data of soliton core density, and soliton core radius for the SgrA∗ candidate. After this we have started to discuss the dynamics of the shell around the wormhole structure and observe the effects of quantum wave dark matter on the stability of the shell by using the equation of motion through radial linear perturbation. The outcomes of the investigation seem to provide several attractive attributes as well as futuristic possibilities to traditional wormhole studies.
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