Classes of relativistic stellar models

Abstract

We find exact solutions to Einstein-Maxwell field equations which can be used to model the interior of charged relativistic anisotropic fluid sphere. The field equations are transformed to a simpler form using the transformation; the integration of the system is reduced to solving the condition of pressure anisotropy. The solution of the system is reduced to a difference equation with variable rational coefficients which can be solved in general. It is possible to obtain general class of solutions in terms of special functions and elementary functions for different model parameters. Our results contain particular models found previously including models of charged relativistic anisotropic spheres.