Impact of charge on the complexity of static cylindrical system

Abstract

This work examines the complexity of charged static cylindrical object with anisotropic matter configuration in the background of energy–momentum squared gravity. For this purpose, we construct the field equations, the non-conservation equation and investigate the celestial structure. We evaluate the mass functions through both C-energy as well as Tolman mass formulae. Numerous factors, such as anisotropic pressure, inhomogeneous energy density and charge, etc have an impact on the complexity of the structure under consideration. The orthogonal splitting of the Riemann tensor yields two structure scalars. Among these both, the factor incorporating all the physical parameters of the self-gravitating system is named as the complexity factor. The complexity-free constraint is employed to compute charged static solutions for the Gokhroo–Mehra model as well as the polytropic equation of state. We conclude that the inclusion of charge reduces the complexity of anisotropic system.