OK today I was driving into work and I started thinking about the speed of gravity. I think at one point I was sucked into the thinking that Gravity is not limited by the speed of light.
The first argument was: That the gravitational waves from the sun are not perpendicular to the light waves of the sun. I think I got past this argument by realizing that the gravitational wave merely sets the landscape and that the earth follows that landscape. This would seem to be proof against a gravitron that travels at the speed of light. In any case I digress ...
The next argument against gravity traveling at the speed of light is the black hole. How could a black hole have a gravitational field if gravity was limited by the speed of light. OK again learning from my previous thoughts. I thought of the landscape that was created by a massive star and realized that the total mass stays roughly the same just becomes much more ( infinitely more ??? ) dense. So the landscape already exists even before the black hole becomes a black hole. But I am confused here.
Firstly, as matter/energy/mass is sucked into the black hole then the propagation of gravity of that extra matter should not be able to escape once it has passed the event horizon.
Secondly, at the exact moment that a star becomes a black hole ( the point where escaping light can no longer escape ) what happens to the landscape around the star? At first thought I would think that almost nothing happens as the mass still exists and the calculations could be based from the center of the gravitational mass. And that really there is little difference in all of that as the size of the star from the last point where light can escape to the size of the star at the first point where light cant escape is not that much different. But IF gravity is limited to the speed of light AND the mass/energy that is causing the gravitational waves is located at a point in space-time that is curved inwards ... wouldnt at the point that a star becomes a black hole wouldnt it loose its gravitational field?
Could all of a BHs mass live on the event horizon and not in its singularity?