Interplay of Einasto density profile and complexity on wormhole dynamics in modified gravity theory

Abstract

The goal of this study is to explore the existence of charged traversable wormholes coupled with an Einasto density profile within $f(R,T)$ gravity theory through the implication of its standard linear model. The Morris-Thorne line element is considered in this regard through which we develop the field equations characterizing anisotropic fluid setup. We then determine two distinct shape functions by varying the redshift parameter as constant and variable. The established functions fulfill the required conditions and connect two asymptotically flat spacetime regions. We also assess their feasibility by checking whether they violate the null energy conditions. Further, we explore the gravitational mass and complexity factor for the obtained model. It is noted that the later factor attains its lowest value at all the points near the wormhole throat. Our analysis shows that these wormhole geometries comply with the necessary conditions for existence, and hence, are valid within the framework of this modified gravity.