Warm deformed $R^2$ inflation

Abstract

In this work, we study warm inflationary scenario based on a deformation of $R^2$ gravity. We start considering $R^p$ and assume $p=2(1+\delta )$ with $\delta \ll 1$ so that we simply obtain warm $R^2$ inflation when setting $\delta =0$. We then derive the potential in the Einstein frame and consider a dissipation parameter of the form $\Gamma =C_{1}T$ with $C_1$ being a coupling parameter. We focus only on the strong regime of which the interaction between inflaton and radiation fluid has been taken into account. We compute inflationary observables and constrain the parameters of our model using latest observational data reported by Planck. From our analysis, we discover that with proper choices of parameters the derived $n_s$ and $r$ are in good agreement with the Planck 2018 observational constraints. Particularly, we constrain the potential scale $U_0$ of the models.

v3: 20 pages, 5 figures,, version accepted for publication in Nuclear Physics B

References in corpus (5)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Warm Inflation and its Microphysical Basis
• Warm inflation dissipative effects: predictions and constraints from the Planck data
• Dirac-Born-Infeld warm inflation realization in the strong dissipation regime
• Warm Higgs-Starobinsky inflation

Cited by in corpus (2)

• Recent developments in warm inflation
• The warm inflation story