Complexity factor for static cylindrical system in energy-momentum squared gravity

This paper investigates some physical features that give rise to complexity within the self-gravitating static cylindrical structure coupled with anisotropic distribution in energy-momentum squared gravity. To accomplish this, we formulate modified field equations and explore of astronomical body. The C-energy Tolman mass are also calculated discuss matter distribution. We then obtain scalars via orthogonal splitting Riemann tensor. Since, considered is influenced by a variety variables, including pressure inhomogeneous energy density, etc. thus, adopt factor $$\mathcal {Y}_{TF}$$ as factor. Further, complexity-free condition along Gokhroo–Mehra model polytropic equation state taken generate their corresponding solutions. deduce inclusion additional terms this theory leads more complicated system.