Abstract
In this paper we have solved Einstein's field equations of spherically symmetric spacetime for anisotropic matter distribution by assuming physically valid expressions of the metric function $e^{\lambda}$ and radial pressure ( $p_{r}$ ). Next we have discussed the physical properties of the model in details by taking the radial pressure $p_{r}$ equal to zero at the boundary of the star. The physical analysis of the star indicates that its model parameters such as density, redshift, radial pressure, transverse pressure and anisotropy are well behaved. Also we have obtained the mass and radius of our compact star which are $2.29M_{\odot}$ and 11.02 km, respectively. It is observed that the model obtained here for compact stars is compatible with the mass and radius of the strange star PSR 1937 +21 .
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