Quantum cosmology with varying speed of light: canonical approach

Details Quantum cosmology with varying speed of light: canonical approach Quantum cosmology with varying speed of light: canonical approach

2007-12-16

arxiv.org/abs/0712.2593v1

Phys.Lett.B660:1-6,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 7 figures, to appear in Physics Letters B

Scientific paper

10.1016/j.physletb.2007.11.098

We investigate $(n+1)$--dimensional cosmology with varying speed of light. After solving corresponding Wheeler-DeWitt equation, we obtain exact solutions in both classical and quantum levels for ($c $--$\Lambda$)--dominated Universe. We then construct the ``canonical'' wave packets which exhibit a good classical and quantum correspondence. We show that arbitrary but appropriate initial conditions lead to the same classical description. We also study the situation from de-Broglie Bohm interpretation of quantum mechanics and show that the corresponding Bohmian trajectories are in good agreement with the classical counterparts.

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