Isotropization and complexity based extended Krori–Barua and Tolman IV Rastall models under the effect of electromagnetic field

Abstract

Three different exact solutions to the gravitational equations are formulated in this paper in the context of Rastall theory using the gravitational decoupling strategy. For doing so, the anisotropic spherical interior fluid distribution is assumed as a seed source characterized by the corresponding Lagrangian. I then modify the field equations by introducing an additional source which is gravitationally coupled with the former fluid setup. Since this approach makes the Rastall equations more complex, I use the MGD scheme to tackle this, dividing these equations into two systems. The Krori–Barua and Tolman IV spacetimes are taken into account to solve the first system, describing an initial anisotropic fluid. The metric potentials associated with these solutions contain multiple constants which are determined with the help of boundary conditions. Furthermore, I work out the solution for the second system through different well-known constraints. Afterwards, the estimated data of a compact star $LMCX-4$ is considered to explore the feasibility of the developed solutions through graphical interpretation. It is concluded that all the resulting models show physically existing profiles under the variation of certain parameters.