Energy exchange between Tolman VII and a polytropic fluid

Abstract Recently, the Gravitational Decoupling through Minimal Geometric Deformation was applied to study a mixture of spherically symmetric internal solution Einstein gravitational equations with polytropic fluid, giving interesting results energetic interchanges in special case Tolman IV solution. In this work, we extend these newly introduced methods VII space-times that are currently considered as convenient exact representing relatively precisely realistic neutron stars.