$R+αR^n$ Inflation in higher-dimensional Space-times [CL]

http://arxiv.org/abs/1702.08311


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.

Read this paper on arXiv…

S. Otero, F. Pedro and C. Wieck
Tue, 28 Feb 17
40/69

Comments: 15 pages, 1 figure

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