Analysis of Complexity Factor for Charged Dissipative Configuration in Modified Gravity

TL;DR

This study investigates how electromagnetic effects and modified gravity influence the complexity of radiating anisotropic cylindrical systems, revealing that charge and modified gravity terms increase astrophysical complexity.

Contribution

It introduces a novel analysis of the complexity factor in charged, radiating cylindrical systems within $f(G,\,\mathcal{T})$ gravity, using Herrera's method and evolutionary conditions.

Findings

Charge and modified gravity terms increase system complexity.

Homologous evolution can be analyzed under complexity-free conditions.

Complexity parameters evolve with charge and gravity modifications.

Abstract

In this paper, we determine the electromagnetic effects on the complexity factor of radiating anisotropic cylindrical geometry in the background of $f(G,\mathcal{T})$ theory. The self-gravitating objects possessing inhomogeneous energy density, pressure anisotropy, heat flux, charge and correction terms appear to encounter the complexity producing phase. Herrera's orthogonal splitting method is used to identify the scalar functions in which the factor that incorporates all of the fundamental aspects of the system is assumed to be the complexity factor. We also look at the evolution of charged cylindrical matter source by selecting homologous pattern as the most basic evolutionary mode. In addition to this, homologous and complexity free conditions are utilized to address dissipative as well as non-dissipative scenarios. The complexity producing parameters throughout the evolutionary process are assessed at the end. It is concluded that the complexity of the astrophysical entities is elevated due to the contribution of charge and modified terms of this theory.