astronomy help?

Question

Decide whether the statement below is true or false and clearly explain how you know.

If two black holes merge together, the resulting black hole is even smaller than the original ones because of its stronger gravity.

Answer 1

The statement is false. If matter is added to a black hole, it may affect the black hole's mass, charge, and angular momentum as measured by an observer outside its event horizon, and nothing else.

The radius of black holes' event horizons will vary in direct proportion to their different masses according to the formula GM/c^2: but the singularities' zero-point size remains absolutely identical in all black holes, regardless of their individual masses. You can't make the singularity have a radius that is less than zero.

As for the black hole's gravity it would seem logical that the gravitational field at the singularity strengthens asymptotically towards a value of infinity, but this is very much a theoretical situation which we will never understand, since anything that happens within the event horizon is lost forever anyway and our current foundation of theoretical physics is indequate for describing physical effects at the singularity.

Even though quantum mechanics or relativity cannot describe infinite gravitational effects around a singularity, it seems logical that you can't make a gravitational field "more than infinite" by adding mass, so the "stronger gravity" qualifier in your question is a bit of a red herring.

Answer 2

False because the gravity is infinite in both black holes.
Infinity + Infinity=Infinity
If you are talking about the singularity space doesnt exist in a singularity.

Answer 3

Hi. False. The diameter of the event horizon is based purely on mass.

Answer 4

False, because greater gravity means greater mass.

Answer 5

and a singularity is a singularity.