Complexity of charged dynamical spherical system in modified gravity

In this paper, we consider the effect of electromagnetic field to the definition of complexity in the context of $f(G,T)$ gravity, where $G$ and $T$ express the Gauss-Bonnet term and energy-momentum tensor, respectively. The physical parameters such as anisotropic pressure, charge, energy density inhomogeneity, heat dissipation and correction terms are found responsible to induce complexity within the self-gravitating objects. The scalar functions are determined using Herrera's orthogonal splitting approach, which results in a complexity factor that includes all of the system's essential features. Furthermore, we investigate the dynamics of charged spherical distribution by choosing homologous mode as the simplest evolutionary pattern. Dissipative and non-dissipative cases associated with complexity free and homologous conditions are also discussed. Finally, we study the components responsible for producing complexity during the evolution process. We deduce that the inclusion of extra curvature terms and charge in $f(G, T)$ gravity enhances the complexity of the self-gravitating structure.