Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1997-11-15
Phys.Rev. D57 (1998) 4707-4717
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
22 pages, LaTeX, 4 Postscript figures, uses graficx.sty
Scientific paper
10.1103/PhysRevD.57.4707
Minisuperspace models derived from Kaluza-Klein theories and low energy string theory are studied. They are equivalent to one and two minimally coupled scalar fields. The general classical and quantum solutions are obtained. Gaussian superposition of WKB solutions are constructed. Contrarily to what is usually expected, these states are sharply peaked around the classical trajectories only for small values of the scale factor. This behaviour is confirmed in the framework of the causal interpretation: the Bohmian trajectories of many quantum states are classical for small values of the scale factor but present quantum behaviour when the scale factor becomes large. A consequence of this fact is that these states present an initial singularity. However, there are some particular superpositions of these wave functions which have Bohmian trajectories without singularities. There are also singular Bohmian trajectories with a short period of inflation which grow forever. We could not find any non-singular trajectory which grows to the size of our universe.
Roberto Colistete Jr.
Fabris Julio Cesar
Pinto-Neto Nelson
No associations
LandOfFree
Singularities and Classical Limit in Quantum Cosmology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Singularities and Classical Limit in Quantum Cosmology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Singularities and Classical Limit in Quantum Cosmology will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-494335