Preventing eternality in phantom inflation
  We have investigated the necessary conditions that prevent phantom inflation
from being eternal. Allowing additionally for a nonminimal coupling between the
phantom field and gravity, we present the slow-climb requirements, perform an
analysis of the fluctuations, and finally we extract the overall conditions
that are necessary in order to prevent eternality. Furthermore, we verify our
results by solving explicitly the cosmological equations in a simple example of
an exponential potential, formulating the classical motion plus the stochastic
effect of the fluctuations through Langevin equations. Our analysis shows that
phantom inflation can be finite without the need of additional exotic
mechanisms.
