Abstract:
We consider the general situation of a compact relativistic body with anisotropic pressures in the presence of the electromagnetic field. The equation of state for the matter
distribution is linear and may be applied to strange stars with quark matter. Three
classes of new exact solutions are found to the Einstein-Maxwell system. This is
achieved by specifying a particular form for one of the gravitational potentials and
the electric field intensity. We can regain anisotropic and isotropic models from our
general class of solution. A physical analysis indicates that the charged solutions describe realistic compact spheres with anisotropic matter distribution. The equation of
state is consistent with dark energy stars and charged quark matter distributions. The
masses and central densities correspond to realistic stellar objects in the general case
when anisotropy and charge are present.
