Charge effect on isotropization and complexity of extended decoupled anisotropic stellar models

Abstract

The objective of this paper is to construct some possible extensions of the existing anisotropic compact interiors to the Einstein–Maxwell framework by utilizing the extended gravitational decoupling. For this purpose, a static sphere initially coupled with the anisotropic distribution is assumed, and we call it the original source. We then extend this configuration by adding another gravitational matter source whose impact on the considered geometry is commanded by the decoupling parameter. We establish the field equations representing the total matter source which are partitioned into two distinct systems after implementing transformations on both radial/temporal metric functions. These two sets describe the seed and additional sources independently, containing multiple unknowns. We apply several constraints on the metric potentials as well as the newly added fluid source to solve these systems of equations. The impact of charge and the decoupling parameter σ is graphically analyzed on physical characteristics in the interior of a compact model 4U1820−30. We conclude that our first model is physically relevant for all parametric choices, however, the second solution becomes unstable only for σ=1.