Searching solutions by Lagrange-Charpit method in cosmology: Bianchi type I toy model in self creation cosmology Available to Purchase

We use the Brans-Dicke theory from the framework of General Relativity (Einstein frame), but now the total energy momentum tensor fulfills the following condition $[1φ(8πTμν(M)+Tμν(φ))];ν = 0$⁠. We take a Bianchi I metric in the Hamilton-Jacobi scheme and we present the Lagrange-Charpit approach in order to find classical solutions. This class of solutions are found for all values of the barotropic parameter γ.