Dilaton Quantum Cosmology in Two Dimensions
arXiv:hep-th/9211095 · doi:10.1103/PhysRevD.47.4490
Abstract
We consider a renormalizable two-dimensional model of dilaton gravity coupled to a set of conformal fields as a toy model for quantum cosmology. We discuss the cosmological solutions of the model and study the effect of including the backreaction due to quantum corrections. As a result, when the matter density is below some threshold new singularities form in a weak coupling region, which suggests that they will not be removed in the full quantum theory. We also solve the Wheeler-DeWitt equation. Depending on the quantum state of the Universe, the singularities may appear in a quantum region where the wave function is not oscillatory, i.e., when there is not a well defined notion of classical spacetime.
17 pages, UTTG-28-92
References in corpus (15)
- Evanescent Black Holes
- Elements of String Cosmology
- The Endpoint of Hawking Evaporation
- Are Horned Particles the Climax of Hawking Evaporation?
- Liouville Models of Black Hole Evaporation
- Cosmic Censorship in Two-Dimensional Gravity
- Quantization of a Theory of 2d Dilaton Gravity
- Evaporation of Two Dimensional Black Holes
- Scalar-Tensor Quantum Gravity in Two Dimensions
- Hawking Radiation and Back-Reaction
- Black Hole Physics from Liouville Theory
- Quantum Theories of Dilaton Gravity
- Quantum Black Holes
- Midisuperspace-Induced Corrections to the Wheeler De Witt Equation
- Black Hole Uncertainties
Cited by in corpus (18)
- Quantum dilatonic gravity in d = 2,4 and 5 dimensions
- On Applications of Campbell's Embedding Theorem
- Soluble models in 2d dilaton gravity
- Singularity and exit problems in two-dimensional string cosmology
- Anomaly induced effective actions in even dimensions and reliability of s-wave approximation
- Exact solutions in two-dimensional string cosmology with back reaction
- Inflationary Brans-Dicke Quantum Universe
- A Note on the Semi-Classical Approximation in Quantum Gravity
- (Non) singular Kantowski-Sachs Universe from quantum spherically reduced matter
- Quantum Cosmology of Generalized Two--Dimensional Dilaton Gravity Models
- Initial singularity free quantum cosmology in two-dimensional Brans-Dicke theory
- Influence functional in two dimensional dilaton gravity
- Equilibrium Two-Dimensional Dilatonic Spacetimes
- Exactly solvable models of two-dimensional dilaton cosmology with quantum backreaction
- QUANTUM CORRECTIONS AND EXTREMAL BLACK HOLES
- Universal Approach to Cosmological Singularities in Two Dimensional Dilaton Gravity
- Two non-commutative parameters and regular cosmological phase transition in the semi-classical dilaton cosmology
- Cosmological Model in 2d Dilaton Gravity