Extended gravitational decoupling approach in f(𝒢) gravity

Abstract

In this paper, we explore decoupled anisotropic interior solutions for static sphere using extended gravitational decoupling technique in [Formula: see text] gravity. We choose Tolman-IV solution as the isotropic interior source describing compact spherical geometry and extend its domains to determine two anisotropic models using some physical constraints. We test physical acceptability of both models for the compact star PSRJ1416-2230 through physical parameters, energy bounds and causality condition. It is observed that both models are physically viable as well as stable. It is also found that the first star model becomes more dense at its core as compared to the second for a small increase in the coupling constant [Formula: see text].