Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-06-16
Gen.Rel.Grav. 31 (1999) 1743-1758
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17 pages, Latex, 1 Postscript figure. To appear in General Relativity and Gravitation
Scientific paper
First a Friedmann-Robertson-Walker (FRW) universe filled with dust and a conformally invariant scalar field is quantized. For the closed model we find a discrete set of wormhole quantum states. In the case of flat spacelike sections we find states with classical behaviour at small values of the scale factor and quantum behaviour for large values of the scale factor. Next we study a FRW model with a conformally invariant scalar field and a nonvanishing cosmological constant dynamically introduced by regarding the vacuum as a perfect fluid. The ensuing Wheeler-DeWitt equation turns out to be a bona fide Schrodinger equation, and we find that there are realizable states with a definite value of the cosmological constant. Once again we find finite-norm solutions to the Wheeler-DeWitt equation with definite values of the cosmological constant that represent wormholes, suggesting that in quantum cosmological models with a simple matter content wormhole states are a common occurrence.
Alvarenga Flavio G.
Lemos Nivaldo A.
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