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

2007/11/13 by Pouria Pedram, P. Pedram, S. Jalalzadeh · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Statistical Mechanics and Entropy #gr-qc

paper · pdf · doi:10.1016/j.physletb.2007.11.013

published as Phys.Lett.B659:6-13,2008 · 18 pages, 2 figures, to appear in PLB

arxiv created 2007/11/13 · openalex publication_date 2007/11/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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