Minimally deformed charged anisotropic spherical solution

Abstract

The present article is dedicated to the study of charged anisotropic solutions in the background of gravitational decoupling via. minimal geometric deformation (MGD) approach. In this work, we emphasize on the background of MGD that how this MGD approach works. Here, we have minimally deformed the radial component of the spacetime as $e^{-\lambda }\longrightarrow \mu +\alpha \,f(r)$, where $\alpha$ is a coupling constant. Next, we determined the decoupler function f(r) by using well-known constraints procedure, namely mimic constraints to the radial pressure, and then components for the $\theta$–sector governed by extra source. The obtained decoupler function f(r) vanishes at the center as well as on the stellar boundary. The constants involved in the solution have been determined by using well-known Reissner–Nordström solution. Finally, we have presented the graphical representation with detailed analysis for describing the physical and astrophysical viability of the solution through the modeling of the stellar objects.