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 (7)

• General relativity as an effective field theory: The leading quantum corrections
• Self-stabilization of extra dimensions
• Brane world corrections to Newton's law
• Diversity of universes created by pure gravity
• Possible variations of the fine structure constant $\alpha$ and their metrological significance
• Multidimensional cosmology and asymptotical AdS
• On Observational Predictions from Multidimensional Gravity

Cited by in corpus (5)

• Models of G time variations in diverse dimensions
• Multidimensional world, inflation and modern acceleration
• Quintessential Phenomena in Higher Dimensional Space Time
• Inhomogeneous compact extra dimensions and de Sitter cosmology
• Accelerating Universe in Higher Dimensional Space Time : an alternative approach