Large scale effective theory for cosmological bounces

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 (19)

• Quantum Nature of the Big Bang
• Absence of Singularity in Loop Quantum Cosmology
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Loop Quantum Cosmology
• Isotropic Loop Quantum Cosmology
• Inflation from Quantum Geometry
• The Inverse Scale Factor in Isotropic Quantum Geometry
• Effective Equations of Motion for Quantum Systems
• Homogeneous Loop Quantum Cosmology
• Holographic Description of AdS Cosmologies
• Quantization Ambiguities in Isotropic Quantum Geometry
• Loop quantum cosmology and inhomogeneities
• Homogeneous Loop Quantum Cosmology: The Role of the Spin Connection
• Quantum Gravity and Higher Curvature Actions
• Hamiltonian cosmological perturbation theory with loop quantum gravity corrections
• Formation and Evolution of Structure in Loop Cosmology
• Nonsingular Black Holes and Degrees of Freedom in Quantum Gravity
• Coordinate time dependence in Quantum Gravity
• Numerical Analysis of the Big Bounce in Loop Quantum Cosmology

Cited by in corpus (88)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Robustness of key features of loop quantum cosmology
• Are loop quantum cosmos never singular?
• Quantum cosmology: a review
• Loop quantum cosmology and the k = - 1 RW model
• Anomaly freedom in perturbative loop quantum gravity
• Introduction to Loop Quantum Cosmology
• Alternative quantization of the Hamiltonian in loop quantum cosmology II: Including the Lorentz term
• 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
• Critical evaluation of common claims in loop quantum cosmology
• Anomaly-free cosmological perturbations in effective canonical quantum gravity
• Phantom field dynamics in loop quantum cosmology
• Effective Dynamics, Big Bounces and Scaling Symmetry in Bianchi Type I Loop Quantum Cosmology
• Observational test of inflation in loop quantum cosmology
• Consistent Loop Quantum Cosmology
• Generalized uncertainty principles and localization in discrete space
• Quantum nature of cosmological bounces
• Effective Constraints for Relativistic Quantum Systems
• Effective Constraints for Quantum Systems
• Cosmological vector modes and quantum gravity effects
• Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
• High-order quantum back-reaction and quantum cosmology with a positive cosmological constant
• Some implications of signature-change in cosmological models of loop quantum gravity
• 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
• Quantum Cosmology: Effective Theory
• How quantum is the big bang?
• Inflationary observables in loop quantum cosmology
• The covariant entropy bound and 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?
• Statistical moments for classical and quantum dynamics: formalism and generalized uncertainty relations
• Bouncing Unitary Cosmology I: Mini-Superspace General Solution
• Observational effects from quantum cosmology
• Covariant Effective Action for Loop Quantum Cosmology from Order Reduction
• An elementary introduction to loop quantum gravity
• Effective Constraints and Physical Coherent States in Quantum Cosmology: A Numerical Comparison
• Protected $SL(2,\mathbb{R})$ Symmetry in Quantum Cosmology
• Loop Quantum Cosmology corrections to inflationary models
• Covariance in self dual inhomogeneous models of effective quantum geometry: Spherical symmetry and Gowdy systems
• Higher time derivatives in effective equations of canonical quantum systems
• Classical and quantum behavior of the harmonic and the quartic oscillators
• Recollapsing quantum cosmologies and the question of entropy
• Emerging singularities in the bouncing loop cosmology
• Fermions in Loop Quantum Cosmology and the Role of Parity
• Semi-classical and quantum analysis of the isotropic Universe in the polymer paradigm
• The BKL scenario, infrared renormalization, and quantum cosmology
• A Braneworld Dark Energy Model with Induced Gravity and the Gauss-Bonnet Effect
• Evolution of Primordial Black Holes in Loop Quantum Gravity
• The high-density regime of kinetic-dominated loop quantum cosmology
• How loopy is the quantum bounce? A heuristic analysis of higher order holonomy corrections in LQC
• Anomaly freedom in perturbative models of Euclidean loop quantum gravity
• A no-singularity scenario in loop quantum gravity
• Comment on "Quantum bounce and cosmic recall" [arXiv:0710.4543]
• Loop quantization of spherically symmetric midisuperspaces and loop quantum geometry of the maximally extended Schwarzschild spacetime
• Fluctuation energies in quantum cosmology
• Big Bang Singularity Resolution In Quantum Cosmology
• Loop Quantum Cosmology: Effective theories and oscillating universes
• Gravitational observables, intrinsic coordinates, and canonical maps
• On the resolution of the big bang singularity in isotropic Loop Quantum Cosmology
• Factor ordering and large-volume dynamics in quantum cosmology
• Equivalence of models in loop quantum cosmology and group field theory
• Quantization of dynamical symplectic reduction
• Electric Time in Quantum Cosmology
• Non-bouncing solutions in loop quantum cosmology
• Effective Casimir Conditions and Group Coherent States
• Cosmological inflation driven by holonomy corrections of loop quantum cosmology
• The volume operator in loop quantum cosmology
• Bouncing Universe with a Nonminimally Coupled Scalar Field on a Moving Domain Wall
• Generalised Gaussian states in group field theory and $\mathfrak{su}(1,1)$ quantum cosmology
• Properties of fluctuating states in loop quantum cosmology
• Gravity in Extreme Regions Based on Noncommutative Quantization of Teleparallel Gravity
• Classical versus quantum evolution for a universe with a positive cosmological constant
• (Loop) quantum gravity and the inflationary scenario
• Tunneling dynamics in cosmological bounce models
• Effective equations of motion for constrained quantum systems: A study of the Bianchi I loop quantum cosmology
• Equivalent Hamiltonian approach to quantum cosmology of integrable models
• Quantum gravity in the very early universe
• Quantum gravity, space-time structure, and cosmology
• Singularity Resolution in Isotropic Loop Quantum Cosmology: Recent Developments
• Effective Theories of Quantum Cosmology
• Black-hole models in loop quantum gravity