Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-11-24
Gen.Rel.Grav.40:1663-1681,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
22 pages, 13 figures, 4 table, to appear in GRG
Scientific paper
10.1007/s10714-007-0566-4
We present perfect fluid Friedmann-Robertson-Walker quantum cosmological models in the presence of negative cosmological constant. In this work the Schutz's variational formalism is applied for radiation, dust, cosmic string, and domain wall dominated Universes with positive, negative, and zero constant spatial curvature. In this approach the notion of time can be recovered. These give rise to Wheeler-DeWitt equations for the scale factor. We find their igenvalues and eigenfunctions by using Spectral Method. After that, we use the eigenfunctions in order to construct wave packets for each case and evaluate the time-dependent expectation value of the scale factors, which are found to oscillate between finite maximum and minimum values. Since the expectation values of the scale factors never tends to the singular point, we have an initial indication that these models may not have singularities at the quantum level.
Gousheh Siamak S.
Jalalzadeh Shahram
Mirzaei Mehrnoush
Pedram Pouria
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