Large scale effective theory for cosmological bounces
arXiv:gr-qc/0608100 · doi:10.1103/PhysRevD.75.081301
Abstract
An exactly solvable bounce model in loop quantum cosmology is identified which serves as a perturbative basis for realistic bounce scenarios. Its bouncing solutions are derived analytically, demonstrating why recent numerical simulations robustly led to smooth bounces under the assumption of semiclassicality. Several effects, easily included in a perturbative analysis, can however change this smoothness. The effective theory is not only applicable to such situations where numerical techniques become highly involved but also allows one to discuss conceptual issues. For instance, consequences of the notoriously difficult physical inner product can be implemented at the effective level. This indicates that even physical predictions from full quantum gravity can be obtained from perturbative effective equations.
5 pages, 1 figure; v2: more details on effective equations
References in corpus (7)
- Quantum Nature of the Big Bang
- Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
- Loop quantum cosmology and inhomogeneities
- Quantum Gravity and Higher Curvature Actions
- Formation and Evolution of Structure in Loop Cosmology
- Hamiltonian cosmological perturbation theory with loop quantum gravity corrections
- Numerical Analysis of the Big Bounce in Loop Quantum Cosmology
Cited by in corpus (32)
- Are loop quantum cosmos never singular?
- Loop quantum cosmology and the k = - 1 RW model
- Anomaly freedom in perturbative loop quantum gravity
- Loop quantum gravity corrections to gravitational wave dispersion
- Phenomenological loop quantum geometry of the Schwarzschild black hole
- Quantum bounce and cosmic recall
- The behavior of non-linear anisotropies in bouncing Bianchi I models of loop quantum cosmology
- Dynamical coherent states and physical solutions of quantum cosmological bounces
- Phantom field dynamics in loop quantum cosmology
- Effective Dynamics, Big Bounces and Scaling Symmetry in Bianchi Type I Loop Quantum Cosmology
- Consistent Loop Quantum Cosmology
- Quantum nature of cosmological bounces
- Effective Constraints for Quantum Systems
- Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
- Cosmological vector modes and quantum gravity effects
- Phenomenological dynamics of loop quantum cosmology in Kantowski-Sachs spacetime
- Exact solutions for Big Bounce in loop quantum cosmology
- Effective Scenario of Loop Quantum Cosmology
- How quantum is the big bang?
- Inflationary observables in loop quantum cosmology
- Effective equations for isotropic quantum cosmology including matter
- Effective constraints of loop quantum gravity
- Harmonic cosmology: How much can we know about a universe before the big bang?
- Covariant Effective Action for Loop Quantum Cosmology from Order Reduction
- Fermions in Loop Quantum Cosmology and the Role of Parity
- Emerging singularities in the bouncing loop cosmology
- Recollapsing quantum cosmologies and the question of entropy
- How loopy is the quantum bounce? A heuristic analysis of higher order holonomy corrections in LQC
- Comment on "Quantum bounce and cosmic recall" [arXiv:0710.4543]
- Loop Quantum Cosmology: Effective theories and oscillating universes
- Singularity Resolution in Isotropic Loop Quantum Cosmology: Recent Developments
- Effective equations of motion for constrained quantum systems: A study of the Bianchi I loop quantum cosmology