FRW in cosmological self-creation theory: Hamiltonian approach Available to Purchase

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 $[1φ(8πTμν(M)+Tμν(φ))];ν = 0$⁠. 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.