Role of decoupling measure on the complexity factor and isotropization of the charged anisotropic spheres

Abstract

An electromagnetic field is a consequential aspect of the space carried by moving electric charges. The contemporaneous interaction of Einstein–Maxwell field could be provoked by the dispersing electro-magnetic waves owing to the warping of the spacetime. Within the complete geometric deformation scenario, current work is devoted to exploring the substantial impact of an electromagnetic field on the anisotropic spherically symmetric structures that are taken to be the seed source, and then augment to the additional source. In this case, the gravitational decoupling strategy and embedding Class-I constraint will be used as two techniques to address the issue. We compute the Einstein–Maxwell field equations for the desired configuration. The transformed metric potentials corresponding to the temporal and radial components are then applied to formulate the two distinct sets of field equations. Through the Kuchowicz-ansatz for the seed metric potential, we enforce the Karmarkar constraint to grasp the entire gravitational aspect of a static compact sphere together with the effects of charged anisotropic pressure. The uniqueness of our study is that we used isotropization and disappearing complexity requirements to derive the deformation function within the bounds of a charged scenario. Thereby, two solutions to the associated relativistic equations are then presented for physical validity. We address the fact that the existence of charged pressure anisotropy in the bounded sphere has a consequential influence on governing its stability. Furthermore, it is identified that the decoupling-constant magnitude controls the energy flow within both the generically charged fluid and the fluid matter composition.