This work may reasonably model an electrically charged compact star whoseĮnergy density associated with the electric fields is on the same order of That the relativistic stellar structure for matter distribution obtained in (EOS) of the matter distribution has been obtained. Have been obtained by solving Einstein-Maxwell field equations with preferredįorm of one of the metric potentials, a suitable forms of electric chargeĭistribution and pressure anisotropy functions. In this work some families of relativistic anisotropic charged fluid spheres 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. The magnitude of the electric field and electric charge depends on the dimensionless parameter χ. It was found that the electric field and electric charge have magnitudes of the order of ∼10²¹ and ∼10²⁰, respectively. We have fixed the mass and radii using the data of the compact objects SMC X–1 and LMC X–4. 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. 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 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.
We analyze the behavior of a spherically symmetric and static interior driven by a charged anisotropic matter distribution. This research develops a well–established analytical solution of the Einstein-Maxwell field equations.