I refer to the time coordinate of an outside observer (ideally hoovering over the BH at large constant distance). Can (s)he actually see something falling into the hole within finite time, that means actually disappearing and making the Event horizon larger? If no, all the merging of black holes, the area increasing law, the Information paradox etc. would make no sense, it seems to me. If one regards the Schwarzschild metric, an infall cannot happen, since the infalling object never reaches the horizon. However, one MUST NOT use the Schwarzschild metric, since this describes an isolated BH. The correct solution of the Einstein field equations for a BH plus something falling in is crucially different, the more as the equations are nonlinear. These correct equations describe the infall as taking place within finite time (in the said time coordinate). Would any distinguished expert be so friendly to say whether the above is right or wrong. In the latter case, what else is correct? Thank you in advance.