We use the Brans-Dicke theory from the framework of General Relativity (Einstein frame), but now the total matter energy momentum tensor fulfills the following condition [1φ(8πTμν(M)+Tμν(φ))] = 0. We take as a first model the flat FRWmetric in the Hamilton-Jacobi scheme and we present the Lagrange-Charpit approach in order to find classical solutions for all values of the barotropic parameter γ.

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