Multidimensional gravity with higher derivatives and inflation
J\'ulio C. Fabris, Arkady A. Popov, Sergey G. Rubin
TL;DR
This paper explores an inflationary model derived from multidimensional gravity with higher derivatives, linking the effective scalar field to extra-dimensional curvature, and predicts observable inflationary parameters.
Contribution
It introduces a novel multidimensional gravity framework with second-order curvature terms that yields specific inflationary predictions.
Findings
Dominance of Kretschmann and Ricci tensor square terms during inflation
Predicted spectral index and tensor-to-scalar ratio for certain parameters
Effective scalar field related to extra-dimensional Ricci scalar
Abstract
We elaborate on the inflationary model starting from multidimensional Lagrangian and gravity with second-order curvature terms. The effective scalar field is related to the Ricci scalar of extra dimensions. It is shown that the Kretschmann and the Ricci tensor square terms dominate during inflation. The observable values of the spectral index and the tensor-to-scalar ratio are obtained for specific values of the model parameters.
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