New perspectives on constant-roll inflation

Understand

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.