Self-bound embedding Class I anisotropic stars by gravitational decoupling within vanishing complexity factor formalism

Abstract

We present a spherically symmetric embedding Class I solution for compact star models using the gravitational decoupling approach. We have chosen a null complexity factor condition proposed by Herrera (Phys Rev D 97:044010, 2018) in the context of a self-gravitating system and derive the anisotropic solution through a systematic approach given by Contreras and Stuchlik (Eur Phys J C 82:706, 2022). In this regard, we use the Finch–Skea model along with the mimicking of mass constraint to find fluid pressure and the matter-energy density from the Einstein Field Equations (EFE). We tested the physical viability and impact of gravitational decoupling on the anisotropic solution through the graphical representation. Moreover, the energy exchange between the fluid distributions along with the mass-radius ratio of different compact objects has been also discussed.