Study of anisotropic and non-uniform Gravastars by gravitational decoupling in f(R,T) gravity

Adopting gravitational decoupling through minimal geometric deformation (MGD) procedure, we develop an analytical version of gravastar model with non-uniform and anisotropic features, in the framework of f(R,T) gravity. This new non-uniform model describes an ultracompact stellar structure of radius RS=2M, whose interior solution smoothly joins a conformally deformed Schwarzschild exterior solution, and also it is matched to the standard Schwarzschild exterior solution under some restrictions on f(R,T) coupling constant λ. The constructed solution presents a family of stellar models satisfying some of the fundamental properties of a stable configuration, including a positive energy density everywhere with monotonically decreasing behavior from the center to surface. Besides, a non-uniform pressure is observed with monotonic behavior. All the energy conditions except the strong one are satisfied inside the ultracompact stellar configuration for all the values of f(R,T) coupling constant λ, which are compatible with regularity condition.