New perspectives on constant-roll inflation
  We study constant-roll inflation using the $\beta$-function formalism. We
show that the constant rate of the inflaton roll is translated into a first
order differential equation for the $\beta$-function which can be solved
easily. The solutions to this equation correspond to the usual constant-roll
models. We then construct, by perturbing these exact solutions, more general
classes of models that satisfy the constant-roll equation asymptotically. In
the case of an asymptotic power law solution, these corrections naturally
provide an end to the inflationary phase. Interestingly, while from a
theoretical point of view (in particular in terms of the holographic
interpretation) these models are intrinsically different from standard
slow-roll inflation, they may have phenomenological predictions in good
agreement with present cosmological data.
