A charged anisotropic well-behaved Adler-Finch-Skea solution Satisfying Karmarkar Condition

In the present article, we discover a new well-behaved charged anisotropic solution of Einstein-Maxwell's field equations. We ansatz the metric potential \(g_{00}\) of the form given by Maurya el al. (arXiv:1607.05582v1) with \(n=2\). In their article it is mentioned that for \(n=2\) the solution is not well-behaved for neutral configuration as the speed of sound is non-decreasing radially outward. However, the solution can represent a physically possible configuration with the inclusion of some net electric charged i.e. the solution can become a well-behaved solution with decreasing sound speed radially outward for a charged configuration. Due to the inclusion of electric charged the solution leads to a very stiff equation of state (EoS) with the velocity of sound at the center \(v_{r0}^2=0.819, ~v_{t0}^2=0.923\) and the compactness parameter \(u=0.823\) is closed to the Buchdahl limit 0.889. This stiff EoS support a compact star configuration of mass \(5.418M_\odot\) and radius of \(10.1 km\).