Energy density inhomogenization in relativistic spheres with Maxwell-\(f({\mathcal {G}},T)\) theory

Abstract

In this paper, the accountable factors are brought out for irregularity in energy density of spherically symmetric radiating fluid in \(f({\mathcal {G}},T)\) gravity under electromagnetic field, where \({\mathcal {G}}\) is a Gauss–Bonnet term and T is the trace of the energy–momentum tensor. The expressions by varying mass function are composed by taking its radial and temporal derivatives. The relation between Weyl scalar, mass function, and modified field equations is developed, which would then be used to obtain Ellis equations. The role of parameters of fluid, Weyl curvature, correction terms, and electromagnetic field in the growth of inhomogeneity is explored by taking different types of realistic fluids. It is inferred that the electromagnetic field is trying to produce hindrances in the emergence of inhomogeneous energy density from the homogeneous one with \(f({\mathcal {G}},T)\) terms.