Electromagnetic Effects on the Complexity of Static Cylindrical Object in $f(G,T)$ Gravity

TL;DR

This study explores how electromagnetic fields influence the complexity of static cylindrical objects within $f(G,T)$ gravity, revealing that charge reduces system complexity and providing new solutions under specific conditions.

Contribution

It introduces a novel analysis of electromagnetic effects on complexity in $f(G,T)$ gravity and derives charged static solutions using the vanishing complexity factor condition.

Findings

Charge decreases the complexity of the anisotropic system.

Derived charged static solutions for specific models.

Established the role of electromagnetic fields in gravitational complexity.

Abstract

In this paper, we investigate complexity of anisotropic cylindrical object under the influence of electromagnetic field in $f(G,T)$ theory, where $G$ and $T$ indicate the Gauss-Bonnet term and trace of the stress-energy tensor, respectively. For this purpose, we calculate the modified field equations, non-conservation equation and mass distributions that assist in comprehending the structure of astrophysical objects. The Riemann tensor is divided into different structure scalars, among which one is called the complexity factor. This factor is used to measure complexity of the system due to the involvement of inhomogeneous energy density, anisotropic pressure and charge. The vanishing of the complexity factor is employed as a constraint to formulate charged static solutions for the Gokhroo-Mehra model and polytropic equation of state. We conclude that the presence of charge reduces the complexity of the anisotropic system.