Electromagnetic field and complexity of relativistic fluids in f (G) gravity

Abstract

ABSTRACT The principal idea behind this manuscript is to inspect the complexity of dissipating as well as non-dissipating self-gravitating sources which are coupled with locally anisotropic charged matter. The gravitational equations in the regime of $f(\mathbb {G})$ ($\mathbb {G}$ is the Gauss–Bonnet invariant) theory have elaborated for the imperfectly charged stellar configuration to scrutinize the charged object in the presence of $f(\mathbb {G})$ corrections. The impact of charge distribution on the connection between density inhomogeneity, Weyl tensor, and pressure anisotropy is investigated. By incorporating the constraints of QH (i.e. the quasi-homologous) evolution and CF = 0, (where CF denotes the complexity factor) multiple analytical solutions to the $f(\mathbb {G})$ equations of gravity are developed defining the imperfectly charged compact spherical matter. Some of these stellar models (exact solutions) portray a spherical collapsing configuration of a charged fluid in which there arise a cavity about the fluid centre, while other models exhibit a fluid configuration wherein the sphere is totally filled by the fluid. These interior solutions to $f(\mathbb {G})$ gravitational equations may exhibit some appealing astrophysical phenomenons.