Analytical Model for Compact Star in a Buchdahl Spacetime Consistent with Observational Data

A method is developed to obtain solutions of Einstein field equations for anisotropic charged spheres. This procedure needs to choose a linear relationship between energy density and radial pressure and a metric function proposed for Buchdahl (1959). A new class of solution is obtained and subjected to several physical analyses for realistic models of compact stars. The new solutions in this research are physically reasonable, well-behaved in the interior of the star, which indicates that these new models satisfies important physical conditions as the measure of anisotropy and matching. The models are consistent with the upper limit on the mass of compact stars for PSR J1823-3021G, PSR J1748-2446an and PSR J1518+4904.