About Black Holes with Nontrapping Interior

Physical arguments related with the existence of black hole solutions having a non-trapping interior are discussed. Massive scalar fields interacting with gravity are considered. Interior asymptotic solutions showing a scalar field approaching a constant value at the horizon are given. It is argued that the coupled Einstein-Klein-Gordon equations can be satisfied in the sense of the generalized functions after removing a particular regularization designed for matching the interior solution with an external Schwarzschild space-time. The scalar field appears as just avoiding the appearance of closed trapped surfaces while coming from the exterior region. It also follows that the usual space integral over T_0⁰ in the internal region just gives the total proper mass associated to the external Schwarzschild solution, as it should be expected.