On the study of complexity for charged self-gravitating systems

Abstract

In modified Gauss–Bonnet gravity, this paper investigates the complexity factor for static anisotropic self-gravitating fluid which is influenced by an electric charge. For the self-gravitating system, we evaluate the Maxwell field equations, the Tolman–Oppenheimer–Volkoff equation and the mass function. We formulate the structure scalars by an orthogonal splitting of the Riemann tensor for the self-gravitating system and identify one of these scalars as the complexity factor. Then with the help of two different models, we observe the corresponding complexity factor involved in the subsequent changes of static spheres. The structure scalars and complexity factor are found to be dependent on the components of the effective part as well as electromagnetic part.