This is a question about big rip.
Lets assume that big rip was the fate of our universe ( I understand that evidence does not suggest this ), would there be an SR gradient that would be similar to the gravitational gradient of a BH?
Lets say that the the cosmic expansion got to the point that it was accelerating the sun away from the earth at hte speed of light. Could we look at the difference in acceleration as a gradient, as where the further you go away from the observer ( or the closer you got to the past singularity/EH ), the faster you would be accelerated. Wouldnt that be the same or similar to a gravitational/ GR gradient near an event horizon? If not what is the difference to the forces?