Study of anisotropic stellar objects, a revisit to Buchdahl metric potential

Abstract

In this paper, we explore anisotropic compact stellar models in the framework of general theory of relativity with [Formula: see text] component governed by Buchdahl ansatz. We choose the anisotropic factor such as to render the solution physically compatible for stellar modeling. We have analyzed the solution for different values of [Formula: see text] to demonstrate the profiles of thermodynamical variables. The stability of the proposed models has been verified using different stability criteria. The hydrostatic equilibrium condition is well retained by the models studied in this work. The Buchdahl limit is well obeyed by the proposed models. The models of four compact stars viz., PSR J1614-2230, Vela X-1, Cen X-3 and SMC X-4 are extensively analyzed in close agreement with their observational details.