A well-behaved charged anisotropic Tolman VII space–time

Abstract

We present a new exact solution of charged anisotropic Tolman VII type solution representing compact stars. Here the transverse pressure and sound speed are decreasing in nature and well behaved. These solutions can be used to model both neutron star and quark star within the range of observed masses and radii. For particular values of constant parameters, we present a neutron star of mass 0.924 [Formula: see text] with radius 11.55 km and a quark star of mass 0.7 [Formula: see text] with radius 8.76 km. The model predicts a surface gravitational redshift of 0.145 for a particular choice of constant parameters. Also, the compactness parameter (i.e., M/R = 0.119) is less than 4/9 and satisfies the Buchdahl–Andréasson limit. Indeed, our charged anisotropic solution also satisfies the Cooperstock and De La Cruz condition as M/Q = 13.74 > 1, which is needed for a configuration to be at equilibrium.