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arXiv · 1701.08239

Inflation from $(R+γR^n-2Λ)$ Gravity in Higher Dimensions

Sergei V. Ketov·Hiroshi Nakada
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Abstract

We propose a derivation of the inflaton scalar potential from the higher $(D)$ dimensional $(R+γR^n-2Λ)$ gravity, with the new coupling constant $γ$ and the cosmological constant $Λ$. We assume that a compactification of extra dimensions happened before inflation, so that the inflaton scalar potential in four spacetime dimensions appears to be dependent upon the parameters $(γ,Λ,D,n)$. We find that consistency requires $n=D/2$, while the dimension $D$ has to be a multiple of four. We calculate the potential for any $D$, and determine the values of $γ$ and $Λ$ from observations. The cases of $D=8$ and $D=12$ are considered in more detail. Our approach results in the viable models of chaotic large-field inflation, and leads to the sharp predictions of an observable value of the tensor-to-scalar ratio $r$ of the Cosmic Microwave Background radiation.

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Sergei V. Ketov, Hiroshi Nakada. 2017-02-08. Inflation from $(R+γR^n-2Λ)$ Gravity in Higher Dimensions. https://doi.org/10.1103/physrevd.95.103507

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