Brans-Dicke Quantum Cosmology

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

By solving a Wheeler-De Witt `extended' equation in the Brans-Dicke theory, we have found that the probability distribution predicts: i) An initial value for the Brans-Dicke scalar field φ ˜ ρ1/2_VAC in the beginning of the inflation, where ρVAC is the vacuum density energy (this gives a planck mass ˜ ρ1/4_VAC) ii) Large values for the Brans-Dicke parameter w. On the other hand it is shown that by taking into account the dynamical behaviour of φ and the matter scalar field σ we can formulate a `creation boundary condition' where in the `beginning' of the Universe (R =0, `nothing' for some authors) we have a dynamical σ already `created'. This could be the energetic mechanism which makes Universe tunnels the potential barrier to evolve classically after. Besides we have found the possibility of a cosmological uncertainty principle.

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