Abstract:
We consider the linear equation of state for matter distributions that may be applied to
strange stars with quark matter. In our general approach the compact relativistic body allows for anisotropic pressures in the presence of the electromagnetic field. New exact solutions
are found to the Einstein-Maxwell system. A particular case is shown to be regular at the
stellar centre. In the isotropic limit we regain the general relativistic isothermal universe. We
show that the mass corresponds to values obtained previously for quark stars when anisotropy
and charge are present.