Cosmologies from nonlinear multidimensional gravity with acceleration and slowly varying G

Details Cosmologies from nonlinear multidimensional gravity with acceleration and slowly varying G Cosmologies from nonlinear multidimensional gravity with acceleration and slowly varying G

2008-04-07

arxiv.org/abs/0804.0973v1

Grav.Cosmol.14:230-234,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, to be published in Grav. Cosmol

Scientific paper

10.1134/S0202289308030043

We consider multidimensional gravity with a Lagrangian containing the Ricci tensor squared and the Kretschmann invariant. In a Kaluza-Klein approach with a single compact extra space of arbitrary dimension, with the aid of a slow-change approximation (as compared with the Planck scale), we build a class of spatially flat cosmological models in which both the observed scale factor $a(\tau)$ and the extra-dimensional one, $b(\tau)$, grow exponentially at large times, but $b(\tau)$ grows slowly enough to admit variations of the effective gravitational constant $G$ within observational limits. Such models predict a drastic change in the physical laws of our Universe in the remote future due to further growth of the extra dimensions.

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