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Sep 7, 2018 at 15:06 comment added A.V.S. @Maximko: then objects described by Schwarzschild/Kerr metric cannot form? Not at all, just that black hole that formed would not have a 'scalar hair' (having nontrivial static/stationary scalar field around them). Instead, once the solution stabilizes (stops changing considerably with time), we would have a stable stationary (in some ref. frame) black hole (described in a region around it by Schw./Kerr metric), with the scalar field in its vicinity having constant value (and thus its stress-energy ${}=0$). Plus, there may be some scalar radiation escaping to infinity.
Sep 7, 2018 at 6:41 comment added Maximko Ok, your answer does clarify something to me. Just to be certain: do I understand it right that if there is a _ubiquitous_ massless scalar field with zero potential, then objects described by Schwarzschild/Kerr metric cannot form?
Sep 6, 2018 at 17:09 history answered A.V.S. CC BY-SA 4.0