Quantum FRW cosmological solutions in the presence of Chaplygin gas and perfect fluid
arXiv:0711.1996 · doi:10.1016/j.physletb.2007.11.013
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.
18 pages, 2 figures, to appear in PLB
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Cited by in corpus (5)
- Quantum cosmology with varying speed of light: canonical approach
- Perfect fluid quantum Universe in the presence of negative cosmological constant
- Signature change from Schutz's canonical quantum cosmology and its classical analogue
- Role of Chaplygin gas as geometrical dark energy in anisotropic brane gravity
- The nature of cosmological singularities in isotropic universes and braneworlds