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Models of G time variations in diverse dimensions

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Abstract

A review of different cosmological models in diverse dimensions leading to a relatively small time variation in the effective gravitational constant G is presented. Among them: the 4-dimensional (4-D) general scalar-tensor model, the multidimensional vacuum model with two curved Einstein spaces, the multidimensional model with the multicomponent anisotropic “perfect fluid”, the S-brane model with scalar fields and two form fields, etc. It is shown that there exist different possible ways of explaining relatively small time variations 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 Ġ may be satisfied either in some restricted interval or for all allowed values of the synchronous time variable.

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  1. Center for Gravitation and Fundamental Metrology, VNIIMS, 46 Ozyornaya Str., Moscow, 119361, Russia

    Vitaly N. Melnikov

  2. Institute of Gravitation and Cosmology, People’s Friendship University of Russia, 6 Mikhlukho-Maklaya Str., Moscow, 117198, Russia

    Vitaly N. Melnikov

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Melnikov, V.N. Models of G time variations in diverse dimensions. Front. Phys. China 4, 75–93 (2009). https://doi.org/10.1007/s11467-009-0008-8

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