Regular Article - Theoretical Physics
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Kashirskoe shosse, 31, 115409, Moscow, Russian Federation
2 N. I. Lobachevsky Institute of Mathematics and Mechanics, Kazan Federal University, Kremlevskaya street, 18, 420008, Kazan, Russian Federation
Accepted: 31 October 2022
Published online: 18 November 2022
We develop an inflationary model without small parameters on the basis of multidimensional f(R) gravity with a minimally coupled scalar field. The model is described by two stages of space expansion. The first one begins at energy scales about the D-dimensional Planck mass and ends with the de Sitter metric of our space and the maximally symmetric extra dimensions. In the following, the quantum fluctuations produce a wide set of inhomogeneous extra metrics in causally disconnected regions quickly generated in the de Sitter space. We find a specific extra space metric that leads to the effective Starobinsky model that fits the observational data.
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