We study how may vary the gravitational and the cosmological “constants,” (GandΛ) in several scalar-tensor theories with Bianchi III,VI0, andVIhsymmetries. By working under the hypothesis of self-similarity we find exact solutions for two different theoretical models, which are the Jordan-Brans-Dicke (JBD) withΛ(ϕ),and the usual JBD model with potentialU(ϕ)(that mimics the behaviour ofΛ(ϕ)). We compare both theoretical models, and some physical and geometrical properties of the solutions are also discussed putting special emphasis on the study of the isotropization of the solutions.
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