Models of G time variations in diverse dimensions

Abstract

A review of different cosmological models in diverse dimensions leading to a relatively small time variation of the effective gravitational constant G is presented. Among them: 4-dimensional general scalar-tensor model, multidimensional vacuum model with two curved Einstein spaces, multidimensional model with multicomponent anisotropic "perfect fluid", S-brane model with scalar fields and two form field etc. It is shown that there exist different possible ways of explanation of relatively small time variation of the effective gravitational constant G compatible with present cosmological data (e.g. acceleration): 4-dimensional scalar-tensor theories or multidimensional cosmological models with different matter sources. The experimental bounds on G-dot may be satisfied ether in some restricted interval or for all allowed values of the synchronous time variable.

27 pages, Latex

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Cited by in corpus (13)

• Binary Pulsar Constraints on the Parameterized post-Einsteinian Framework
• On stability of exponential cosmological solutions with non-static volume factor in the Einstein-Gauss-Bonnet model
• Variable G correction to statefinder parameters of dark energy
• On exponential cosmological type solutions in the model with Gauss-Bonnet term and variation of gravitational constant
• Stable exponential cosmological solutions with zero variation of $G$ and three different Hubble-like parameters in the Einstein-Gauss-Bonnet model with a $\Lambda$-term
• Does the Newton's gravitational constant vary sinusoidally with time? Orbital motions say no
• A study on the dependence of the dimensionless Brans-Dicke parameter on the scalar field and their time dependence
• Statefinder Parameter for Varying G in Three Fluid System
• Stable exponential cosmological solutions with two factor spaces in the Einstein-Gauss-Bonnet model with a $\Lambda$-term
• Constraining Temporal Oscillations of Cosmological Parameters Using Type Ia Supernovae
• Stable exponential cosmological solutions with zero variation of G in the Einstein-Gauss-Bonnet model with a Lambda-term
• Examples of stable exponential cosmological solutions with three factor spaces in EGB model with a $\Lambda$-term
• Stable exponential cosmological solutions with three factor spaces of dimensions $m=3$, $k_1=k$ and $k_2=k$ in the Einstein-Gauss-Bonnet model with a $\Lambda$-term