Wormhole configurations and complexity perspective: Insights from pseudo–isothermal profile under minimal matter–geometry coupling

The primary objective of this study is to explore the potential existence of charged traversable wormholes characterized by a Pseudo–Isothermal profile in the background of [Formula: see text] gravity theory. To perform this analysis, we employ the Morris–Thorne spacetime representing the wormhole configuration and formulate anisotropic governing equations under a peculiar gravity model. By taking into account two types of redshift parameters, i.e. constant and variable, we derive a couple of distinct shape functions. These functions are found to meet the essential criteria and connect two spacetime regions admitting asymptotic flatness property. The null energy conditions are subsequently analyzed to check the absence or presence of exotic fluid. Moreover, we explore the active gravitational mass and the complexity factor in compliance with both derived solutions. It is important to mention that the later factor has its minimum value near the wormhole throat. Moreover, we assess the developed models by applying various stability techniques. Our study indicates that the resulting wormhole geometries fulfill the necessary conditions, thus showing their validation in the considered fluid-geometry coupling model.

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