Spacetime Curvature Rate..
..has been gently driving me nuts for about three months on-and-off.
Plenty of "info" about it, all over the net.. but as is so often the case, when I plough through this "info", I don't find anything concrete: nothing that answers my question(s).
But I have a friend "on the inside" as it were, finishing a Maths Doctorate in Berlin (Algorithms of the Visual Cortex) and through Uni Professorial connections I have also managed to find.. absolutely nothing: plenty of referrals to other sources, but which turn out to be useless.
What I would like to know is:
1) Is the rate of curvature a constant or not?
2) If so, how long would it take a photon to curve by one degree from its starting point?
3) If so, how long would it (theoretically) take a photon to make a 360 degree curve (assuming it did not decay in that time, which it surely would)?
Has any of this been calculated yet to anyone's current knowledge?
Thanks in advance for any replies.
[NB I'm not a mathematician].