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I remember one where a sect of humanity was being persecuted, and left to try to find a better life in the stars. They failed to find a life, gave up and returned home, but their interstellar trip consumed so many Earth years that by the time they returned, Earth had moved on from persecution and eagerly welcomed their historical memories.
Sadly, I forget the name; it may have been a short story.
This sounds like Methuselah’s Children
I do this with bill collectors.
Something similar happens in the sequel to The Forever War. The main character and his wife are fed up living on a colony controlled by the shared conciousness names Man. So they decide to take a ship into near light speed for the equivalent of 300000 years, only to be stopped by god, told god was bored and that he was going to leave them all behind, then changing physics to prevent them from going so far into the future.