Effects of Charge and Gravitational Decoupling on Complexity and Isotropization of Anisotropic Models

Abstract

This paper constructs two immediate extensions of the existing anisotropic solutions in the context of Einstein-Maxwell framework by employing minimal geometric deformation. To achieve this, we assume a static spherical interior initially filled with anisotropic fluid and call it a seed source. We extend this matter configuration by including a new source whose impact on the self-gravitating system is governed by a decoupling parameter. The charged field equations analogous to the total fluid source are formulated. We then implement a transformation on the radial metric potential that divides the field equations into two new under-determined systems, corresponding to the initial and new sources. The first of them is addressed by taking two well-known metric ansatz so that the number of unknowns can be tackled. Further, the vanishing of total anisotropy and complexity-free constraints are used to solve the second set. The estimated radius and mass of a compact star $4U1820-30$ is utilized to interpret the resulting solutions graphically for different values of the charge and decoupling parameter $\omega$. We conclude that our both developed models are physically acceptable for all parametric values except $\omega =1$.

35 pages, 14 figures

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