Sources of irregular energy density in energy–momentum squared gravity with charge

This manuscript studies the inhomogeneity in the energy density for the relativistic dynamical charged system by invoking the outcomes coming from the considered anisotropic distribution of radiating fluid. We use newly developed f(G,T²) theory, which was proposed by the addition of T²=T_ζξT^ζξ in the usual action of f(G,) gravity. We construct relativistic field equations for a specific model f(G,T²)=λT²+G(1+Gα), to examine the gravitational structure in the influence of electromagnetic filed. We use dynamical expressions and differential equations for Weyl tensor for the inspection of sources of irregularities. By exploring special cases in the non-radiating and radiating scenarios, the irregularity elements for a fluid are examined. These special cases show that modified terms and charge have a considerable impact on the fluid inhomogeneity.