Variations of $\alpha$ and $G$ from nonlinear multidimensional gravity

Abstract

To explain the recently reported large-scale spatial variations of the fine structure constant $\alpha$, we apply some models of curvature-nonlinear multidimensional gravity. Under the reasonable assumption of slow changes of all quantities as compared with the Planck scale, the original theory reduces to a multi-scalar field theory in four dimensions. On this basis, we consider different variants of isotropic cosmological models in both Einstein and Jordan conformal frames. One of the models turns out to be equally viable in both frames, but in the Jordan frame the model predicts simultaneous variations of $\alpha$ and the gravitational constant $G$, equal in magnitude. Large-scale small inhomogeneous perturbations of these models allow for explaining the observed spatial distribution of $\alpha$ values.

11 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:1301.3098

References in corpus (3)

• Observation of the 1S0 - 3P0 clock transition in 27Al+
• Astronomical and laboratory searches for space-time variation of fundamental constants
• Runaway Domain Wall and Space-time Varying alpha

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• On variations of $G$ in the geometric scalar theory of gravity
• Cosmology in nonlinear multidimensional gravity and the Casimir effect