New one-parametric extension of the Starobinsky inflationary model

Abstract

We propose a one-parametric extension of the Starobinsky $R+R^2$ model by adding the $(R+m^2{\beta }^2{)}^{3/2}$ term. The parameter $m$ is the inflaton mass, which is determined in the same way as in the Starobinsky model, and $\beta$ is a dimensionless constant. Using the Einstein frame and the scalar field potential, we get the inflationary parameters of the model proposed. The value of the tensor-to-scalar ratio $r$ can be significantly larger than in the Starobinsky model. The considered inflationary model is in a good agreement with the current observational data. The corresponding scalar field potential is a polynomial of the exponential function.

13 pages, 1 figure. v2: Accepted for publication in Physica Scripta

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