Complexity of dynamical spherical system in f(R,T2) gravity

Abstract

This paper presents complexity measure of a dynamical spherical configuration with anisotropic distribution in energy–momentum squared gravity. The self-gravitating bodies become complex due to non-uniform energy density, asymmetrical pressure, heat loss and contribution of modified terms. By orthogonally decomposing the Riemann tensor, we analyze the structure scalars and obtain the complexity factor that accounts for all the fundamental characteristics of the system. Furthermore, by using the homologous mode as the simplest pattern of evolution, we study the dynamics of the celestial configuration. We also discuss dissipative/non-dissipative fluids in the context of homologous and complexity-free cases. Finally, we investigate a criterion for which the complexity-free condition remains stable throughout evolutionary process. It is concluded that the contribution of product as well as squared components of the considered framework leads to a more complex system.