Analytical models for compact stars with a linear equation of state

In this paper, we found two new classes of solutions to the Einstein-Maxwell system of equations for compact stars assuming an anisotropic pressure and a linear equation of state for the matter distribution within the framework of MIT-Bag Model with a particular form of the metric function. The exact solutions can be written in terms of elementary function in presence of an electromagnetic field. All the obtained models have a singularity in the charge density but not admit singularities in the matter and metric functions at the centre.