A charged anisotropic well-behaved Adler–Finch–Skea solution satisfying Karmarkar condition

Abstract

In the present paper, we discover a new well-behaved charged anisotropic solution of Einstein–Maxwell’s field equations. We ansatz the metric potential [Formula: see text] of the form given by Maurya et al. (Eur. Phys. J. C 76(12) (2016) 693) with [Formula: see text]. In their paper, it is mentioned that for [Formula: see text], the solution is not well-behaved for neutral configuration as the speed of sound is nondecreasing radially outward. However, the solution can represent a physically possible configuration with the inclusion of some net electric charge, 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 charge, the solution leads to a very stiff equation-of-state (EoS) with the velocity of sound at the center [Formula: see text] [Formula: see text] and the compactness parameter [Formula: see text] is close to the Buchdahl limit 0.889. This stiff EoS support a compact star configuration of mass [Formula: see text] and radius of 10.1[Formula: see text]km.