Abstract
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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References
Vilenkin, A.: 1988, Phys. Rev. D. 37, 888.
Vilenkin, A.: 1994, Phys. Rev. D 50, 2581.
Hartle, J.B. and Hawking, S.W.: 1983, Phys. Rev. D 28, 2960.
La, D. and Steinhardt, P.J.: 1989, Phys. Rev. Lett. 62, 376.
Brans, C. and Dicke, C.H.: 1961, Phys. Rev. 124, 925.
del Campo, S. and Vilenkin, A.: 1989, Phys. Rev. D 40, 688.
Reasenberg, R.D., et al.: 1979, Astrophys. J. 234, L219.
Matiazhagan, C. and Johri, V.B.: 1984, Class. Quantum Grav. 1, L29.
Guzman, E.: 1997, Astrophys. Space Sci., to appear.
Weinberg, S.: 1972, Gravitation and Cosmology, Wiley, New York.
Coleman, S. and de Luccia, F.: 1980, Phys. Rev. D 21, 3305.
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Guzmán, E. Brans-Dicke Quantum Cosmology. Astrophysics and Space Science 253, 7–12 (1997). https://doi.org/10.1023/A:1000443903414
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DOI: https://doi.org/10.1023/A:1000443903414