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arXiv · 1702.08311

$R+\alpha R^n$ Inflation in higher-dimensional Space-times

Santiago Pajón Otero·Francisco G. Pedro·Clemens Wieck
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Abstract

We generalise Starobinsky's model of inflation to space-times with $D>4$ dimensions, where $D-4$ dimensions are compactified on a suitable manifold. The $D$-dimensional action features Einstein-Hilbert gravity, a higher-order curvature term, a cosmological constant, and potential contributions from fluxes in the compact dimensions. The existence of a stable flat direction in the four-dimensional EFT implies that the power of space-time curvature, $n$, and the rank of the compact space fluxes, $p$, are constrained via $n=p=D/2$. Whenever these constraints are satisfied, a consistent single-field inflation model can be built into this setup, where the inflaton field is the same as in the four-dimensional Starobinsky model. The resulting predictions for the CMB observables are nearly indistinguishable from those of the latter.

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Santiago Pajón Otero, Francisco G. Pedro, Clemens Wieck. 2017-02-27. $R+\alpha R^n$ Inflation in higher-dimensional Space-times. https://arxiv.org/abs/1702.08311

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