Relativistic compact object in Generalised Tolman-Kuchowicz spacetime with quadratic equation of state

Abstract: This paper presents the class of solutions to the Einstein field equations for the uncharged static spherically symmetric compact object PSR J0952-0607 by using Generalized Tolman-Kuchowicz space-time metric with quadratic equation of state. We have obtained the bound on the model parameter n graphically and achieved the stable stellar structure of the mathematical model of a compact object. The stability of the generated model is examined by the Tolman-Oppenheimer-Volkoff equation and the Harrison-Zeldovich-Novikov criterion. This anisotropic compact star model fulfills all the required stability criteria including the causality condition, adiabatic index, and Buchdahl condition, Herrera's cracking condition and pertains free from central singularities.