Inflationary models that generalize the constant roll constraint

Abstract

Recently a class of inflationary models satisfying the constant rate of roll constraint, $\ddot{\varphi }+(3+\alpha )H\dot{\varphi }=0$, has been studied and compared with the latest cosmological observational data. We consider the broader class of constraints $\ddot{\varphi }+\frac{{\alpha }_1}{2}\dot{\varphi }+{\alpha }_{2}H\dot{\varphi }=0$ and find an exact particular solution, without initial singularity, which is an attractor of the dynamics governed by a positive periodic potential $V(\varphi )=E+F\cos (\Omega \varphi )+G\cos (2\Omega \varphi )$. The spectral index $n_s$ and the tensor to scalar ratio $r$ are consistent with the recent observational data.

19 pages LateX2e. We limit the study to the inflationary period. This is the version that appears in JCAP

References in corpus (5)

• Ultra slow-roll inflation demystified
• On the constant-roll inflation
• Constant-Roll (Quasi-)Linear Inflation
• The observational constraint on constant-roll inflation
• The Theory of Inflation

Cited by in corpus (1)

• Analytical Insights into Constant-Roll Condition: Extending the Paradigm to Non-Canonical Models