Consider the following model: we have a rocket-like particle (system) that moves with relativistic speed.
How do we account for the effect that it were moving in an expanding Universe?
How could we compute the same time computations we do with a uniformly accelerating relativistic rocket in special relativity but now taking also into account the expansion of the Universe?
Example of what I am trying to calculate: Suppose a relativistic rocket uniformly accelerating until relativistic speeds, in an expanding Universe with constant $H_0$.
- How do we calculate the time to arrive at the edge of the universe, supposing it is the Hubble horizon?