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This paper investigates the complexity of a charged static sphere filled withanisotropic matter in the background of energy-momentum squared gravity. Forthis purpose, we evaluate the modified field and conservation equations todetermine the structure of celestial system. The mass function is calculatedthrough Misner-Sharp as well as Tolman mass definitions. The complexity of aself-gravitating system depends on different factors such as anisotropicpressure, electromagnetic field, energy density inhomogeneity, etc. Weformulate the structure scalars by the orthogonal decomposition of the Riemanntensor to develop a complexity factor containing all vital features of thestellar structure. The vanishing complexity condition is achieved by settingthe complexity factor equal to zero. Finally, we construct two static solutionsby utilizing the energy density of Gokhroo-Mehra solution as well as thepolytropic equation of state along with the zero complexity condition. It isfound that electromagnetic field decreases the complexity of stellar structure.

Impact of Charge on the Complexity of Static Sphere in $f(R,\textbf{T}^{2})$ Gravity