Quantum suppression of the generic chaotic behavior close to cosmological singularities
arXiv:gr-qc/0311003 · doi:10.1103/PhysRevLett.92.071302
Abstract
In classical general relativity, the generic approach to the initial singularity is very complicated as exemplified by the chaos of the Bianchi IX model which displays the generic local evolution close to a singularity. Quantum gravity effects can potentially change the behavior and lead to a simpler initial state. This is verified here in the context of loop quantum gravity, using methods of loop quantum cosmology: the chaotic behavior stops once quantum effects become important. This is consistent with the discrete structure of space predicted by loop quantum gravity.
arXiv commentrevtex4, 4 pages, 5 figures. Published version. Title and abstract changed to match with the published version and Other minor changes. Conclusions unchanged
References in corpus (10)
- Absence of Singularity in Loop Quantum Cosmology
- Loop Quantum Gravity
- QSD V : Quantum Gravity as the Natural Regulator of Matter Quantum Field Theories
- Isotropic Loop Quantum Cosmology
- Inflation from Quantum Geometry
- Chaos in Superstring Cosmology
- The Inverse Scale Factor in Isotropic Quantum Geometry
- Homogeneous Loop Quantum Cosmology
- Quantization Ambiguities in Isotropic Quantum Geometry
- Homogeneous Loop Quantum Cosmology: The Role of the Spin Connection
Cited by in corpus (57)
- Background Independent Quantum Gravity: A Status Report
- Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
- Loop Quantum Cosmology
- Loop quantum cosmology of Bianchi type IX models
- Spherically Symmetric Quantum Geometry: States and Basic Operators
- Spherically Symmetric Quantum Geometry: Hamiltonian Constraint
- Big Crunch Avoidance in k = 1 Semi-Classical Loop Quantum Cosmology
- Loop quantum cosmology and inhomogeneities
- Homogeneous Loop Quantum Cosmology: The Role of the Spin Connection
- Genericness of Big Bounce in isotropic loop quantum cosmology
- Loop Quantum Cosmology: Recent Progress
- Loop Quantum Gravity and the Cyclic Universe
- Quantization ambiguities and bounds on geometric scalars in anisotropic loop quantum cosmology
- The Bianchi IX model in Loop Quantum Cosmology
- Inflationary Cosmology and Quantization Ambiguities in Semi-Classical Loop Quantum Gravity
- Quantum gravitational Kasner transitions in Bianchi-I spacetime
- On (Cosmological) Singularity Avoidance in Loop Quantum Gravity
- Nonsingular Black Holes and Degrees of Freedom in Quantum Gravity
- Classical and Quantum Features of the Mixmaster Singularity
- Numerical simulations of loop quantum Bianchi-I spacetimes
- Primordial Density Perturbation in Effective Loop Quantum Cosmology
- Difficulties with Recollapsing models in Closed Isotropic Loop Quantum Cosmology
- Singularity avoidance in a quantum model of the Mixmaster universe
- Smooth Quantum Dynamics of Mixmaster Universe
- An Overview on the Nature of the Bounce in LQC and PQM
- Coordinate time dependence in Quantum Gravity
- Perturbative Degrees of Freedom in Loop Quantum Gravity: Anisotropies
- The Volume Operator in Spherically Symmetric Quantum Geometry
- Elements of Loop Quantum Cosmology
- Degenerate Configurations, Singularities and the Non-Abelian Nature of Loop Quantum Gravity
- Absence of the Kasner singularity in the effective dynamics from loop quantum cosmology
- Numerical Techniques in Loop Quantum Cosmology
- Singularity-free and non-chaotic inhomogeneous Mixmaster in polymer representation for the volume of the universe
- On Energy Conditions and Stability in Effective Loop Quantum Cosmology
- The Mixmaster Universe in a generalized uncertainty principle framework
- Chaotic universe in the z=2 Hovava-Lifshitz gravity
- The Early Universe in Loop Quantum Cosmology
- Loop quantum cosmology of Bianchi IX: Effective dynamics
- Thermodynamics in Loop Quantum Cosmology
- Mixmaster universe in the z=3 deformed Hořava-Lifshitz gravity
- Anisotropic loop quantum cosmology with self-dual variables
- Semiclassical and quantum behavior of the Mixmaster model in the polymer approach for the isotropic Misner variable
- Quantum Geometry and its Implications for Black Holes
- A quantum gravity extension to the Mixmaster dynamics
- Nonadiabatic bounce and an inflationary phase in the quantum mixmaster universe
- Big Bounce in Dipole Cosmology
- Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity
- Tachyon field in loop quantum cosmology: An example of traversable singularity
- Quantum gravity might restrict a cyclic evolution
- Inflationary Quantum Cosmology: General Framework and Exact Bianchi I Solution
- Universe scenarios from loop quantum cosmology
- Perturbation theory in covariant canonical quantization
- Resolution of cosmological singularity in Hořava-Lifshitz cosmology
- General Relativity as Classical Limit of Evolutionary Quantum Gravity
- Reflections on the hyperbolic plane
- Loop Quantum Cosmology: Anisotropy and singularity resolution
- Dynamical Horizon Entropy Bound Conjecture in Loop Quantum Cosmology