WKB Wave Functions with the Induced Gravity Theory

Details WKB Wave Functions with the Induced Gravity Theory WKB Wave Functions with the Induced Gravity Theory

2000-07-29

arxiv.org/abs/gr-qc/0007080v1

Mod.Phys.Lett.A14:2179-2185,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, no figure, LaTex file

Scientific paper

10.1142/S0217732399002248

The Wheeler-DeWitt equation for the induced gravity theory is constructed in the minisuperspace approximation, and then solved using the WKB method under three types of boundary condition proposed respectively by Hartle & Hawking (``no boundary''), Linde and Vilenkin (``tunneling from nothing''). It is found that no matter how the gravitational and cosmological ``constants'' vary in the classical models, they will acquire constant values when the universe comes from quantum creation, and that, in particular, the resulting tunneling wave function under the Linde or Vilenkin boundary condition reaches its maximum value if the cosmological constant vanishes.

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