Can we detect a gravitation field of an object after it failed into a black hole?
Take a simple non-rotating, non-charged black hole and throw a massive object into the black hole:
When the object is outside of the black hole, we can detect the gravitation field of the object.
After the object quickly crossed the event horizon, can we still detect the object's gravitation field?
If yes, does it mean that we (outside of the black hole) can detect how the object fails to the singularity?
If no, how it will look like? Will it be a wave on the event horizon like circular waves on the water? Can we deduce from this wave any information about the state of the object behind the horizon?
