Anisotropic spherical solutions via EGD using isotropic Durgapal–Fuloria model

Abstract

Our main focus is to calculate analytic solutions for spherically symmetric self-gravitating systems using anisotropic fluid via decoupling technique dubbed as extended gravitational decoupling (EGD) approach. To this end, we choose an isotropic Durgapal–Fuloria solution and generalize it to anisotropic domain by transforming temporal and radial metric potentials. We check stability and physical viability of the obtained anisotropic interior solutions via graphical trajectories of energy conditions, TOV equation, causality constraints as well as adiabatic index for the compact stars namely PSR J 1416-2230 and Her X-I. It is found that both of the stellar models exhibit feasible realistic behavior fulfilling all the physical constraints and stability criterion. Hence, the EGD technique is more efficient to explain the interior structure of the stellar objects.