Charged anisotropic compact objects obeying Karmarkar condition

Abstract

Abstract This research develops a well–established analytical solution of the Einstein-Maxwell field equations. We analyze the behavior of a spherically symmetric and static interior driven by a charged anisotropic matter distribution. The class I methodology is used to close the system of equations and a suitable relation between the anisotropy factor and the electric field is imposed. The inner geometry of this toy model is described using an ansatz for the radial metric potential corresponding to the well–known isotropic Buchdahl space-time. The main properties are explored in order to determine if the obtained model is appropriate to represent a real compact body such as neutron or quark star. We have fixed the mass and radii using the data of the compact objects SMC X–1 and LMC X–4. It was found that the electric field and electric charge have magnitudes of the order of  ∼1021 [V/cm] and  ∼1020 [C], respectively. The magnitude of the electric field and electric charge depends on the dimensionless parameter χ. To observe these effects on the total mass, mass–radius ratio and surface gravitational red–shift, we computed numerical data for different values of χ.