Role of polytropic equation of state through structure scalars in the complex self-gravitating systems

Abstract

In this article, our aim is to study a novel approach to comprehend the complexity of gravitational objects within the background of polytropic equation of state and Einstein-Gauss–Bonnet approach. Here, we examine the role of the complexity factor in determining whether a system becomes complex or simple. We consider spherically symmetric line element with anisotropic and nonhomogeneous fluid configuration. These scalar parameters are used to examine the characteristic of physical variables, in this way, we choose one scalars as the complexity factor, following Herrera’s approach (Herrera, 2018). In order to find the structure scalars, we introduce the basic formulation of the Riemann tensor and two distinct mass approaches that address the entire energy budget of the system. In order to find the solution of the field equation, two different models are used with the help of vanishing complexity condition.