  This work is based on a cosmological scenario of a universe dominated by
phantom energy with equation of state parameter $w<-1$ and the analysis of its
asymptotic behaviour in the far-future. The author discusses whether a Big Rip
singularity could be reached in the future. Working in the context of general
relativity, it is argued that the Big Rip singularity could be avoided due to
the gravitational Schwinger pair-production, even if no other particle-creating
contribution takes place. In this model, the universe is described in its
far-future by a state of a constant but large Hubble rate and energy density,
as well as of a constant but low horizon entropy. Similar conditions existed at
the beginning of the universe. Therefore, according to this analysis, not only
the Big Rip singularity could be avoided in the far-future but also the
universe could asymptotically be led to a new inflationary phase, after which
more and more universes could be created.
