Complexity Factor for Charged Spherical System

TL;DR

This paper introduces a complexity factor for charged anisotropic self-gravitating objects, derived from the Einstein-Maxwell equations and structure scalars, and explores how electromagnetic fields influence system complexity.

Contribution

It formulates a new complexity factor based on structure scalars for charged objects and analyzes its behavior under various astrophysical conditions.

Findings

Electromagnetic fields reduce the system's complexity.

The complexity factor vanishes under specific conditions.

The framework applies to realistic astrophysical objects.

Abstract

In this paper, we study the complexity factor for a charged anisotropic self-gravitating object. We formulate the Einstein-Maxwell field equations, Tolman-Opphenheimer-Volkoff equation, and the mass function. We form the structure scalars by the orthogonal splitting of the Riemann tensor and then find the complexity factor with the help of these scalars. Finally, we investigate some astrophysical objects for the vanishing of complexity condition. It is found that the presence of the electromagnetic field decreases the complexity of the system.