When an clock falls into a black hole, its time rate, as viewed by an external observer, slows down to a stop as it approach the horizon.
If the black hole does not accumulate more matter, the event horizon actually shrinks due to mass loss from to Hawking radiation. So the distance between the falling clock and the horizon would increase, except the clock would fall further, but would still go infinitely slow as it nears the horizon. Eventually, in 10^66 years, a solar mass black hole explodes into pure radiation without the clock ever crossing the event horizon. My question is:
1) Does an object falling into a non-growing black hole ever pass the event horizon and actually enter the black hole interior?
Of course matter falling into the black hole expands the event horizon. Thus:
2) Does an object actually enter by the event horizon expanding to engulf the object?
THUS, IS IT IMPOSSIBLE TO FALL INTO A BLACK HOLE OR MUST A FALLING OBJECT BE ENGULFED BY GROWING EVENT HORIZON TO GET INSIDE?
Light and presumably gravity traveling parallel to the event horizon surface must travel slow, as measured from the outside. If fact the time retardation should be infinite at the surface. Thus a pebble falling into the hole (really approaching it but its nearby mass might locally expand and distort the horizon into a sphere with a bump on it.: So:
3) How long does it take the addition of matter on one side of the hole to cause the event horizon on the other side to expand and engulf our object? Less than 10^66 years?
An uneven mass distribution, due to falling pebbles or rings of gas, will cause the hole horizon to vibrate. A vibration that may seem like a millisecond to the hole might seem like a megayear to an external observer for reasons mentioned above. Thus:
4) How long, as measured from the outside, does it take an asymmetrical event horizon to become spherical again?
I would suspect these questions have been studied and answered decades ago. Are there references available? (not in German, please).