On Cosmology in Nonlinear Multidimensional Gravity with Multiple Factor Spaces
- Authors: Bolokhov S.V.1, Bronnikov K.A.1,2,3
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Affiliations:
- Peoples’ Friendship University of Russia (RUDN University)
- Center for Gravitation and Fundamental Metrology
- National Research Nuclear University “MEPhI” (Moscow Engineering Physics Institute)
- Issue: Vol 24, No 2 (2018)
- Pages: 154-160
- Section: Article
- URL: https://journals.rcsi.science/0202-2893/article/view/176170
- DOI: https://doi.org/10.1134/S0202289318020044
- ID: 176170
Cite item
Abstract
Within the scope of multidimensional Kaluza–Klein gravity with nonlinear curvature terms and two spherical extra spaces of dimensions m and n, we study the properties of an effective action for the scale factors of extra dimensions. Dimensional reduction leads to an effective 4D multiscalar-tensor theory. Based on qualitative estimates of the Casimir energy contribution at a physically reasonable length scale, we demonstrate the existence of such sets of the initial parameters of the theory in the case m = n that provide a minimum of the effective potential at this scale which yields a fine-tuned value of the effective 4D cosmological constant The corresponding size of extra dimensions depends of which conformal frame is interpreted as the observational one: it is about three orders of magnitude larger than the standard Planck length if we adhere to the Einstein frame, but it is n-dependent in the Jordan frame, and its invisibility requirement restricts the total dimension to values D = 4 + 2n ≤ 20.
About the authors
S. V. Bolokhov
Peoples’ Friendship University of Russia (RUDN University)
Author for correspondence.
Email: boloh@rambler.ru
Russian Federation, ul. Miklukho-Maklaya 6, Moscow, 117198
K. A. Bronnikov
Peoples’ Friendship University of Russia (RUDN University); Center for Gravitation and Fundamental Metrology; National Research Nuclear University “MEPhI” (Moscow Engineering Physics Institute)
Email: boloh@rambler.ru
Russian Federation, ul. Miklukho-Maklaya 6, Moscow, 117198; ul. Ozyornaya 46, Moscow, 119361; Moscow, 115409