Quantum phantom cosmology
arXiv:hep-th/0605229 · doi:10.1103/PhysRevD.74.044022
Abstract
We apply the formalism of quantum cosmology to models containing a phantom field. Three models are discussed explicitly: a toy model, a model with an exponential phantom potential, and a model with phantom field accompanied by a negative cosmological constant. In all these cases we calculate the classical trajectories in configuration space and give solutions to the Wheeler-DeWitt equation in quantum cosmology. In the cases of the toy model and the model with exponential potential we are able to solve the Wheeler-DeWitt equation exactly. For comparison, we also give the corresponding solutions for an ordinary scalar field. We discuss in particular the behaviour of wave packets in minisuperspace. For the phantom field these packets disperse in the region that corresponds to the Big Rip singularity. This thus constitutes a genuine quantum region at large scales, described by a regular solution of the Wheeler-DeWitt equation. For the ordinary scalar field, the Big-Bang singularity is avoided. Some remarks on the arrow of time in phantom models as well as on the relation of phantom models to loop quantum cosmology are given.
21 pages, 6 figures
References in corpus (2)
Cited by in corpus (18)
- Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
- Are loop quantum cosmos never singular?
- Worse than a big rip?
- Quantum Stability of a w < - 1 Phase of Cosmic Acceleration
- Bouncing and Accelerating Solutions in Nonlocal Stringy Models
- Quantum cosmology with big-brake singularity
- On the quantum fate of singularities in a dark-energy dominated universe
- On the generalised Chaplygin gas: worse than a big rip or quieter than a sudden singularity?
- Quantum geometrodynamics: whence, whither?
- On the Null Energy Condition and Cosmology
- An Inflationary Non-singular Quantum Cosmological Model
- Arrow of Time in String Theory
- Non-perturbative Quantization of Phantom and Ghost Theories: Relating Definite and Indefinite Representations
- Hamiltonian formalism in Friedmann cosmology and its quantization
- Canonical wave packets in quantum cosmology
- Phantom fields: bounce solutions in the early Universe and S-branes
- Large classical universes emerging from quantum cosmology
- Quantum fields near phantom-energy `sudden' singularities