Cosmologies from nonlinear multidimensional gravity with acceleration and slowly varying G

Abstract

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.

5 pages, to be published in Grav. Cosmol

References in corpus (2)

• Diversity of universes created by pure gravity
• Multidimensional cosmology and asymptotical AdS

Cited by in corpus (1)

• Models of G time variations in diverse dimensions