Compact stellar model in the presence of pressure anisotropy in modified Finch Skea space–time

Abstract

A new model of an anisotropic compact star is obtained in our present paper by assuming the pressure anisotropy. The proposed model is singularity free. The model is obtained by considering a physically reasonable choice for the metric potential $g_{rr}$, which depends on a dimensionless parameter n. The effect of n is discussed numerically, analytically, and through plotting. We have concentrated a wide range for n ($10\le n \le 1000$) for drawing the profiles of different physical parameters. The maximum allowable mass for different values of n has been obtained by the M–R plot. We have checked that the stability of the model is increased for a larger value of n. For the viability of the model, we have considered two compact stars PSR J1614-2230 and EXO 1785-248. We have shown that the expressions for the anisotropy factor and the metric component may serve as generating functions for uncharged stellar models in the context of general theory of relativity.