  In this study, the gravitational decoupling approach via extended geometric
deformation is utilized to generate analytical black hole solutions owing to
its simplicity and effectiveness. Considering the external fields surrounding
Schwarzschild AdS black holes, we derive hairy black hole solutions in
asymptotic AdS spacetime, satisfying the strong and dominant energy conditions.
Moreover, we find that if the black hole spacetime is a fluid system, the fluid
under each of these conditions is anisotropic.
