Quantum Stephani exact cosmological solutions and the selection of time variable

Details Quantum Stephani exact cosmological solutions and the selection of time variable Quantum Stephani exact cosmological solutions and the selection of time variable

2007-09-11

arxiv.org/abs/0709.1620v1

Class.Quant.Grav.24:5515-5526,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, 7 figures

Scientific paper

10.1088/0264-9381/24/22/014

We study perfect fluid Stephani quantum cosmological model. In the present work the Schutz's variational formalism which recovers the notion of time is applied. This gives rise to Wheeler-DeWitt equation for the scale factor. We use the eigenfunctions in order to construct wave packets for each case. We study the time-dependent behavior of the expectation value of the scale factor, using many-worlds and deBroglie-Bohm interpretations of quantum mechanics.

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