Exact solutions for Big Bounce in loop quantum cosmology
arXiv:0801.0502 · doi:10.1103/PhysRevD.77.123506
Abstract
In this paper we study the flat (k=0) cosmological FRW model with holonomy corrections of Loop Quantum Gravity. The considered universe contains a massless scalar field and the cosmological constant Lambda. We find analytical solutions for this model in different configurations and investigate its dynamical behaviour in the whole phase space. We show the explicit influence of Lambda on the qualitative and quantitative character of solutions. Even in the case of positive Lambda the oscillating solutions without the initial and final singularity appear as a generic case for some quantisation schemes.
12 pages, 12 figures, added references and changed introduction and summary
References in corpus (25)
- Discreteness of area and volume in quantum gravity
- Quantum Nature of the Big Bang: Improved dynamics
- Quantum Geometry and Black Hole Entropy
- Quantum Theory of Gravity I: Area Operators
- Quantum Nature of the Big Bang
- Black hole entropy in Loop Quantum Gravity
- Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
- Black hole entropy from Quantum Geometry
- Loop quantum cosmology of k=1 FRW models
- Isotropic Loop Quantum Cosmology
- Non-Singular Bouncing Universes in Loop Quantum Cosmology
- Homogeneous Loop Quantum Cosmology
- Loop quantum cosmology and the k = - 1 RW model
- Closed FRW model in Loop Quantum Cosmology
- Loop quantum gravity corrections to gravitational wave dispersion
- Loop quantum cosmology and inhomogeneities
- Large scale effective theory for cosmological bounces
- Phantom Friedmann Cosmologies and Higher-Order Characteristics of Expansion
- Effective Dynamics, Big Bounces and Scaling Symmetry in Bianchi Type I Loop Quantum Cosmology
- Hamiltonian cosmological perturbation theory with loop quantum gravity corrections
- Formation and Evolution of Structure in Loop Cosmology
- Open FRW model in Loop Quantum Cosmology
- The Dark Side of a Patchwork Universe
- Relic gravitons as the observable for Loop Quantum Cosmology
- Exact solutions in bouncing cosmology
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- Bouncing Cosmology in f(Q) Symmetric Teleparallel Gravity
- Anti-deSitter universe dynamics in LQC
- Positive cosmological constant in loop quantum cosmology
- Finite-time Cosmological Singularities and the Possible Fate of the Universe
- Bouncing cosmological solutions from f(R,T) gravity
- Cosmic recall and the scattering picture of Loop Quantum Cosmology
- Gravitational waves from the Big Bounce
- Dynamics of interacting phantom scalar field dark energy in Loop Quantum Cosmology
- Some implications of signature-change in cosmological models of loop quantum gravity
- The Big Bounce in Rainbow Universe
- Turning Big Bang into Big Bounce: I. Classical Dynamics
- Anomaly-free vector perturbations with holonomy corrections in loop quantum cosmology
- Loop Quantum Cosmology Gravitational Baryogenesis
- Physical time and other conceptual issues of QG on the example of LQC
- Non-singular Bounce Cosmology from Lagrange Multiplier Gravity
- Tensor power spectrum with holonomy corrections in LQC
- An elementary introduction to loop quantum gravity
- Loop Quantum Cosmology corrections to inflationary models
- Transcending Big Bang in Loop Quantum Cosmology: Recent Advances
- Instability of an emergent universe
- Recollapsing quantum cosmologies and the question of entropy
- Loop Quantum Cosmology Corrected Gauss-Bonnet Singular Cosmology
- Multi-fluid potential in the loop cosmology
- Effects of the quantisation ambiguities on the Big Bounce dynamics
- Effective dynamics of the closed loop quantum cosmology
- Dynamical behavior of interacting dark energy in loop quantum cosmology
- Thermodynamics in Loop Quantum Cosmology
- Viable non-singular cosmic bounce in holonomy improved F(R) gravity endowed with a Lagrange multiplier
- Observables for FRW model with cosmological constant in the framework of loop cosmology
- Averaged null energy condition in Loop Quantum Cosmology
- Reconstructing the Universe Evolution from Loop Quantum Cosmology Scalar Fields
- Anisotropic Structures and Wormholes with Loop Quantum Gravity Holonomy Corrections
- Loop Quantum Cosmology Scalar Field Models
- Minisuperspace model of compact phase space gravity
- Quantum of volume in de Sitter space
- Quantum fluctuations of the compact phase space cosmology
- Asymmetric cyclic evolution in polymerised cosmology
- Quantum gravity effects on space-time
- Dynamical Horizon Entropy Bound Conjecture in Loop Quantum Cosmology