Anisotropic compact stellar models under the condition of zero complexity

Abstract

In this article, we introduce a new exact solution of the Einstein field equations that characterizes static, spherically symmetric anisotropic compact stars. In our approach the solution of the system of field equations have been obtained under the constraint of vanishing complexity, in addition to specifying the metric potential corresponding to the $g_{rr}$ component. The class of generalized solutions has been smoothly matched with the Schwarzschild solutions describing the exterior across the boundary. The model parameters are fixed by using this matching conditions and additionally from the condition of the vanishing of the radial pressure at the surface. We have employed recent measurements of the mass and radius from the observed pulsars to validate and justify the physical applicability of our model.