Loop quantum cosmology in 2+1 dimension
arXiv:1411.5201 · doi:10.1103/PhysRevD.90.124018
Abstract
As a first step to generalize the structure of loop quantum cosmology to the theories with the spacetime dimension other than four, the isotropic model of loop quantum cosmology in 2+1 dimension is studied in this paper. We find that the classical big bang singularity is again replaced by a quantum bounce in the model. The similarities and differences between the 2+1 dimensional model and the 3+1 dimensional one are also discussed.
13 pages, typos fixed
References in corpus (35)
- The Black Hole in Three Dimensional Space Time
- Background Independent Quantum Gravity: A Status Report
- Loop Quantum Cosmology: A Status Report
- Quantum Nature of the Big Bang: Improved dynamics
- Loop Quantum Cosmology
- Robustness of key features of loop quantum cosmology
- Corrections to the Friedmann Equations from LQG for a Universe with a Free Scalar Field
- Fundamental Structure of Loop Quantum Gravity
- Loop Quantum Cosmology: An Overview
- Quantum Gravity in 2+1 Dimensions: The Case of a Closed Universe
- Introduction to Loop Quantum Cosmology
- Alternative quantization of the Hamiltonian in loop quantum cosmology II: Including the Lorentz term
- QSD IV : 2+1 Euclidean Quantum Gravity as a model to test 3+1 Lorentzian Quantum Gravity
- Numerical simulations of a loop quantum cosmos: robustness of the quantum bounce and the validity of effective dynamics
- Quantum-Reduced Loop Gravity: Cosmology
- Casting Loop Quantum Cosmology in the Spin Foam Paradigm
- New Variables for Classical and Quantum Gravity in all Dimensions I. Hamiltonian Analysis
- 5-dimensional Brans-Dicke Theory and Cosmic Acceleration
- Loop Quantum Cosmology and Spin Foams
- Path Integrals and the WKB approximation in Loop Quantum Cosmology
- High-order quantum back-reaction and quantum cosmology with a positive cosmological constant
- New Variables for Classical and Quantum Gravity in all Dimensions III. Quantum Theory
- New Variables for Classical and Quantum Gravity in all Dimensions II. Lagrangian Analysis
- A new perspective on cosmology in Loop Quantum Gravity
- Effective Scenario of Loop Quantum Cosmology
- Statistical Entropy of a BTZ Black Hole from Loop Quantum Gravity
- Chimera: A hybrid approach to numerical loop quantum cosmology
- Coherent State Functional Integral in Loop Quantum Cosmology: Alternative Dynamics
- New Variables for Classical and Quantum Gravity in all Dimensions IV. Matter Coupling
- Path Integrals and Alternative Effective Dynamics in Loop Quantum Cosmology
- Three dimensional Eddington--inspired Born--Infeld gravity: solutions
- Coherent State Functional Integrals in Quantum Cosmology
- Bouncing Cosmology in Three Dimensions
- Relationship between (2+1) and 3+1)--Friedmann--Robertson--Walker cosmologies
- Quantization of static space-times