Self-stabilization of extra dimensions

K. A. Bronnikov and S. G. Rubin
Phys. Rev. D 73, 124019 – Published 14 June 2006

Abstract

We show that the problem of stabilization of extra dimensions in Kaluza-Klein type cosmology may be solved in a theory of gravity involving high-order curvature invariants. The method suggested (employing a slow-change approximation) can work with a rather general form of the gravitational action. As examples, we consider pure gravity with Lagrangians quadratic and cubic in the scalar curvature and some more complex ones in a simple Kaluza-Klein framework. After a transition to the 4D Einstein conformal frame, this results in effective scalar field theories with certain effective potentials, which in many cases possess positive minima providing stable small-size extra dimensions. Estimates made in the original (Jordan) conformal frame show that the problem of a small value of the cosmological constant in the present Universe is softened in this framework but is not solved completely.

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  • Received 22 October 2005

DOI:https://doi.org/10.1103/PhysRevD.73.124019

©2006 American Physical Society

Authors & Affiliations

K. A. Bronnikov*

  • Center for Gravitation and Fundamental Metrology, VNIIMS, 46 Ozyornaya St., Moscow, Russia and Institute of Gravitation and Cosmology, PFUR, 6 Miklukho-Maklaya St., Moscow 117198, Russia

S. G. Rubin

  • Moscow State Engineering Physics Institute, 31 Kashirskoe Sh., Moscow 115409, Russia

  • *Electronic address: kb20@yandex.ru
  • Electronic address: sergeirubin@list.ru

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Issue

Vol. 73, Iss. 12 — 15 June 2006

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