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Whitrow-Randall's relation and Brans-Dicke cosmology

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Abstract

When Brans and Dicke published their alternative gravitational framework, they proved that it led to Machian solutions in the static case, and for a pressureless (dust) Euclidean universe. We extend their demonstration to Euclidean and non-Euclidean models with non-null pressure, employing the perfect fluid model. We findρ andp both ∝G.

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Berman, M.S., Som, M.M. Whitrow-Randall's relation and Brans-Dicke cosmology. Gen Relat Gravit 22, 625–629 (1990). https://doi.org/10.1007/BF00755983

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