in the event of the Big Rip: does the universe itself (not atomic bonds) stay intact but its accelerated expansion rate continue to increase forever, or does the universe itself eventually shred apart resulting in no more universe left for the stray particles to travel in?

in the event of the Big Rip: does the universe itself (not atomic bonds) stay intact but its accelerated expansion rate continue to increase forever, or does the universe itself eventually shred apart resulting in no more universe left for the stray particles to travel in?