Influence of Charge on Decoupled Anisotropic Spheres in $f(G,T)$ Gravity

TL;DR

This paper develops anisotropic solutions for charged, self-gravitating spheres in $f(G,T)$ gravity using gravitational decoupling, analyzing how charge and decoupling influence stability and physical viability.

Contribution

It introduces a novel method to generate anisotropic solutions in $f(G,T)$ gravity via gravitational decoupling with electromagnetic fields.

Findings

Solutions are physically viable and stable.

Charge and decoupling parameters enhance stability.

Modified gravity yields more feasible stellar models.

Abstract

In this paper, we develop two anisotropic solutions for static self-gravitating spherical structure in the presence of electromagnetic field through gravitational decoupling approach in $f(G,T)$ theory, where $G$ and $T$ denote the Gauss-Bonnet term and trace of the energy-momentum tensor, respectively. The extra source with isotropic seed sector is responsible for generating anisotropy in the spacetime. The system of field equations is decoupled into two arrays by using minimal geometric deformation in the radial component. The first set portrays the isotropic regime whereas the second set represents the anisotropic system. The metric coefficients of the Krori-Barua spacetime are employed to extract solution of the first set while two constraints on the radial and temporal components of the extra source yield the corresponding two solutions. Finally, we investigate the influence of charge and decoupling parameter on the physical viability and stability of the obtained solutions. We conclude that the resulting solutions in this modified theory indicate more feasible and stable structures.