On some general relativistic compact anisotropic charged stellar models

Abstract

With the presence of electric charge and pressure anisotropy some anisotropic stellar models have been developed. An algorithm presented by Herrera et al. (Phys. Rev, D 77, 027502 (2008)) to generate static spherically symmetric anisotropic solutions of Einsteins equations has been used to derive relativistic anisotropic charged fluid spheres. In the absence of pressure anisotropy the fluid spheres reduce to some well-known Generalized Tolman IV exact metrics. The astrophysical significance of the resulting equations of state (EOS) for a particular case (Wyman-Leibovitz-Adler) for the anisotropic charged matter distribution has been discussed. The interior matter pressure, energy-density, and the adiabatic sound speed are expressed in terms of simple algebraic functions. The constant parameters involved in the solution have been set so that certain physical criteria are satisfied. Physical analysis shows that the relativistic stellar structure obtained in this work may reasonably model an electrically charged compact star, whose energy density associated with the electric fields is of the same order of magnitude as the energy density of fluid matter itself like electrically charged bare strange quark stars.