Well behaved anisotropic compact star models in general relativity

Abstract

Anisotropic compact star models have been constructed by assuming a particular form of a metric function \(e^{\lambda}\). We solved the Einstein field equations for determining the metric function \(e^{\nu}\). For this purpose we have assumed a physically valid expression of radial pressure (\(p_{r}\)). The obtained anisotropic compact star model is representing the realistic compact objects such as PSR 1937 +21. We have done an extensive study about physical parameters for anisotropic models and found that these parameters are well behaved throughout inside the star. Along with these we have also determined the equation of state for compact star which gives the radial pressure is purely the function of density i.e. \(p_{r}=f(\rho)\).