Abstract
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 [Formula: see text] in the internal region just gives the total proper mass associated to the external Schwarzschild solution, as it should be expected.
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