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General Relativity and Quantum Cosmology

arXiv:0711.1996 (gr-qc)
[Submitted on 13 Nov 2007]

Title:Quantum FRW cosmological solutions in the presence of Chaplygin gas and perfect fluid

Authors:P. Pedram, S. Jalalzadeh
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Abstract: We present a Friedmann-Robertson-Walker quantum cosmological model in the presence of Chaplygin gas and perfect fluid for early and late time epoches. In this work, we consider perfect fluid as an effective potential and apply Schutz's variational formalism to the Chaplygin gas which recovers the notion of time. These give rise to Schrödinger-Wheeler-DeWitt equation for the scale factor. We use the eigenfunctions in order to construct wave packets and study the time dependent behavior of the expectation value of the scale factor using the many-worlds interpretation of quantum mechanics. We show that contrary to the classical case, the expectation value of the scale factor avoids singularity at quantum level. Moreover, this model predicts that the expansion of Universe is accelerating for the late times.
Comments: 18 pages, 2 figures, to appear in PLB
Subjects: General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:0711.1996 [gr-qc]
  (or arXiv:0711.1996v1 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.0711.1996
Journal reference: Phys.Lett.B659:6-13,2008
Related DOI: https://doi.org/10.1016/j.physletb.2007.11.013

Submission history

From: Shahram Jalalzadeh [view email]
[v1] Tue, 13 Nov 2007 14:51:21 UTC (114 KB)
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