Complexity Analysis of Charged Dynamical Dissipative Cylindrical Structure in Modified Gravity

This article focuses on the formulation of some scalar factors which are uniquely expressed in terms of matter variables for dynamical charged dissipative cylindrical geometry in a standard gravity model $\mathcal{R}+\mathrm{\Phi }\mathcal{Q}$ ($\mathrm{\Phi }$ is the coupling parameter, $\mathcal{Q}={\mathcal{R}}_{\phi \vartheta }{\mathcal{T}}^{\phi \vartheta }$) and calculates four scalars by orthogonally decomposing the Riemann tensor. We find that only ${\mathcal{Y}}_{TF}$ involves inhomogeneous energy density, heat flux, charge and pressure anisotropy coupled with modified corrections, and thus call it as complexity factor for the considered distribution. Two evolutionary modes are discussed to study the dynamics of cylinder. We then take the homologous condition with ${\mathcal{Y}}_{TF}=0$ to calculate unknown metric potentials in the absence as well as presence of heat dissipation. The stability criterion of the later condition is also checked throughout the evolution by applying some constraints. We conclude that the effects of charge and modified theory yield more complex system.