Complexity Factor of Static Axial Complex Structures in <i>f</i>(<i>R</i>, <i>T</i>) Gravity

Abstract

This article investigates the physical features of static axial sources that produce complexity within the matter configuration within the perspective of f(R, T) theory, where R is the curvature invariant and T identifies the trace of matter energy tensor. In this case, the contracted Bianchi identities of effective as well as normal matter are used to develop the conservation equations. We split the curvature tensor to compute structure scalars, involving the physical aspects of the source in the influence of modified factors. We explore the evolving source and compute the complexity of the system. Three complexity factors are determined by using structure scalars; after that, the corresponding propagation equations are explored to investigate the intense gravitational consequences. Finally, the outcomes of irregular anisotropic spheroids are presented using the criterion of vanishing complexity. The f(R, T) corrections are shown to be an additional source of complexity for the axial anisotropic configuration.

Keywords

• mathematical cosmology
• gravitation
• anisotropy
• mathematical techniques