Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-10-25
Phys.Rev. D73 (2006) 124019
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 pages, 4 figures, revtex4. Version with additions and corrections, accepted at Phys. Rev. D
Scientific paper
10.1103/PhysRevD.73.124019
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 rather a 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.}
Bronnikov Kirill A.
Rubin Sergei. G.
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