Hairy black holes by gravitational decoupling

Black holes with hair represented by generic fields surrounding the central source of vacuum Schwarzschild metric are examined under minimal set requirements consisting i) existence a well defined event horizon and ii) strong or dominant energy condition for outside horizon. We develop our analysis means gravitational decoupling approach. find that trivial deformations seed preserve conditions provide new mechanism to evade no-hair theorem based on primary associated charge generating these transformations. Under above ii), this consistently increases entropy from minimum value given geometry. As direct application, we non-trivial extension Reissner-Nordstrom black hole showing surprisingly simple Finally, non-linear electrodynamics solution is fully specified.