FRW Quantum Cosmology with a Generalized Chaplygin Gas
arXiv:gr-qc/0404111 · doi:10.1103/PhysRevD.71.063521
Abstract
Cosmologies with a Chaplygin gas have recently been explored with the objective of explaining the transition from a dust dominated epoch towards an accelerating expansion stage. We consider the hypothesis that the transition to the accelerated period involves a quantum mechanical process. Three physically admissible cases are possible. In particular, we identify a minisuperspace configuration with two Lorentzian sectors, separated by a classically forbidden region. The Hartle-Hawking and Vilenkin wave functions are computed, together with the transition amplitudes towards the accelerating epoch. Furthermore, it is found that for specific initial conditions, the parameters characterizing the generalized Chaplygin gas become related through an expression involving an integer . We also introduce a phenomenological association between some brane-world scenarios and a FRW minisuperspace cosmology with a generalized Chaplygin gas. The aim is to promote a discussion and subsequent research on the quantum creation of brane cosmologies from such a perspective. Results suggest that the brane tension would become related with generalized Chaplygin gas parameters through another expression involving an integer.
13 pages, 3 figures, RevTeX 4
References in corpus (17)
- Cosmological parameters from SDSS and WMAP
- Cosmology and the Fate of Dilatation Symmetry
- Cosmological Results from High-z Supernovae
- Brane-world gravity
- WMAP and the Generalized Chaplygin Gas
- Brane World Cosmology
- WMAP Constraints on the Generalized Chaplygin Gas Model
- The Revival of the Unified Dark Energy-Dark Matter Model ?
- Phantom-like GCG and the constraints of its parameters via cosmological dynamics
- Constraints on Chaplygin quartessence from the CLASS gravitational lens statistics and supernova data
- Large scale structure and the generalised Chaplygin gas as dark energy
- The Role of Baryons in Unified Dark Matter Models
- Irreversible Processes in a Universe modelled as a mixture of a Chaplygin gas and radiation
- Stability of FRW Cosmology with Generalized Chaplygin Gas
- Running of the Scalar Spectral Index and Observational Signatures of Inflation
- Gravitational waves in the generalized Chaplygin gas model
- Brane classical and quantum cosmology from an effective action
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