Ok, I'm on holidays, so I'm going to be a bit lazy and say, you're side stepping giving the answer for each.
I'm ok with complex numbers, but you're going to have to provide an answer for each, not a formula which doesn't work
Don't worry too much about that, nobody really understand it correctly.A static gravitational field extends to infinity and does not propagate. Motion of an observer does not cause such a field to change
Only gravitational changes propagate (gravity waves) and are limited to the speed of light, well if I understand that correctly.
You've got two bites of the cherry there. A static gravitational field, yet gravity waves propagating. I'm seeing a conflict here.
Actually, I'm not even convinced gravity waves exist yet. The only evidence for them is theoretical at the moment, but attempts to detect them aren't working out too well.
I'm a little concerned by this because without gravitational radiation the only way things can "fall" into black holes is by Newtonian collisions, friction or Bremsstrahlung.
Matter has to lose kinetic energy in order to fall in.
Always. I'm prepared to entertain whacky ideas, though they need at least a seed of proof to get some momentum.Some thinking out side the Newtonian Box might be needed with these speeds.
Because gravity and mass do interact. It's the only interaction of dark matter. If there was no interaction, then we would never be aware of it's existence.If Dark matter is not visible to us then why should it's mass be.
It doesn't even interact with itself other than gravitationally. There's no other evidence for it even existing. No particles, no secondary radiation or even energy.We are not crashing into it and it seems to be everywhere evenly distributed in our close environment, passing through us so to say
Have you noticed we haven't even given dark matter any sort of kinetic energy values. We look at a galaxy and what we really see is a blob of dark matter dragging a galaxy along with it.
The Galaxy is only 0.1 (10%) the mass of the dark blob.
I'll be back when my brain switches on in a couple of days. I need to smash it with some codeine this afternoon.
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